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Finding the Fourth Proportional to 288,720.96, 432,966.72 and 111,129.60

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Solution

The fourth proportional to 288,720.96, 432,966.72 and 111,129.60 is: 166,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,720.96 : 432,966.72 = 111,129.60 : x
  2. Step 2: Convert to fraction form
    288,720.96/432,966.72 = 111,129.60/x
  3. Step 3: Cross multiply
    288,720.96x = 432,966.72 × 111,129.60
  4. Step 4: Simplify right side
    288,720.96x = 48,115,418,406.91
  5. Step 5: Solve for x
    x = 48,115,418,406.91/288,720.96
  6. Step 6: Final answer
    x = 166,650.24

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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.