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Finding the Fourth Proportional to 98,415,101.20, 147,622,651.80 and 57,432,470.80

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Solution

The fourth proportional to 98,415,101.20, 147,622,651.80 and 57,432,470.80 is: 86,148,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,415,101.20 : 147,622,651.80 = 57,432,470.80 : x
  2. Step 2: Convert to fraction form
    98,415,101.20/147,622,651.80 = 57,432,470.80/x
  3. Step 3: Cross multiply
    98,415,101.20x = 147,622,651.80 × 57,432,470.80
  4. Step 4: Simplify right side
    98,415,101.20x = 8,478,333,638,922,068
  5. Step 5: Solve for x
    x = 8,478,333,638,922,068/98,415,101.20
  6. Step 6: Final answer
    x = 86,148,706.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.