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Finding the Fourth Proportional to 120,125.68, 165,772.32 and 66,412.04

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Solution

The fourth proportional to 120,125.68, 165,772.32 and 66,412.04 is: 91,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,125.68 : 165,772.32 = 66,412.04 : x
  2. Step 2: Convert to fraction form
    120,125.68/165,772.32 = 66,412.04/x
  3. Step 3: Cross multiply
    120,125.68x = 165,772.32 × 66,412.04
  4. Step 4: Simplify right side
    120,125.68x = 11,009,277,946.73
  5. Step 5: Solve for x
    x = 11,009,277,946.73/120,125.68
  6. Step 6: Final answer
    x = 91,648.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.