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Finding the Fourth Proportional to 120,177.36, 165,865.57 and 72,430.76

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Solution

The fourth proportional to 120,177.36, 165,865.57 and 72,430.76 is: 99,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,177.36 : 165,865.57 = 72,430.76 : x
  2. Step 2: Convert to fraction form
    120,177.36/165,865.57 = 72,430.76/x
  3. Step 3: Cross multiply
    120,177.36x = 165,865.57 × 72,430.76
  4. Step 4: Simplify right side
    120,177.36x = 12,013,769,526.52
  5. Step 5: Solve for x
    x = 12,013,769,526.52/120,177.36
  6. Step 6: Final answer
    x = 99,966.99

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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.