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Finding the Fourth Proportional to 120,132.32, 165,774.47 and 66,410.08

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Solution

The fourth proportional to 120,132.32, 165,774.47 and 66,410.08 is: 91,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,132.32 : 165,774.47 = 66,410.08 : x
  2. Step 2: Convert to fraction form
    120,132.32/165,774.47 = 66,410.08/x
  3. Step 3: Cross multiply
    120,132.32x = 165,774.47 × 66,410.08
  4. Step 4: Simplify right side
    120,132.32x = 11,009,095,068.17
  5. Step 5: Solve for x
    x = 11,009,095,068.17/120,132.32
  6. Step 6: Final answer
    x = 91,641.41

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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.