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Finding the Fourth Proportional to 98,646.28, 147,821.38 and 59,160

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Solution

The fourth proportional to 98,646.28, 147,821.38 and 59,160 is: 88,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,646.28 : 147,821.38 = 59,160 : x
  2. Step 2: Convert to fraction form
    98,646.28/147,821.38 = 59,160/x
  3. Step 3: Cross multiply
    98,646.28x = 147,821.38 × 59,160
  4. Step 4: Simplify right side
    98,646.28x = 8,745,112,840.80
  5. Step 5: Solve for x
    x = 8,745,112,840.80/98,646.28
  6. Step 6: Final answer
    x = 88,651.22

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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.