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Finding the Fourth Proportional to 148,641.20, 222,995.86 and 64,415.50

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Solution

The fourth proportional to 148,641.20, 222,995.86 and 64,415.50 is: 96,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,641.20 : 222,995.86 = 64,415.50 : x
  2. Step 2: Convert to fraction form
    148,641.20/222,995.86 = 64,415.50/x
  3. Step 3: Cross multiply
    148,641.20x = 222,995.86 × 64,415.50
  4. Step 4: Simplify right side
    148,641.20x = 14,364,389,819.83
  5. Step 5: Solve for x
    x = 14,364,389,819.83/148,641.20
  6. Step 6: Final answer
    x = 96,638.01

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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.