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Finding the Fourth Proportional to 129,142.96, 178,209.12 and 75,443.20

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Solution

The fourth proportional to 129,142.96, 178,209.12 and 75,443.20 is: 104,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,142.96 : 178,209.12 = 75,443.20 : x
  2. Step 2: Convert to fraction form
    129,142.96/178,209.12 = 75,443.20/x
  3. Step 3: Cross multiply
    129,142.96x = 178,209.12 × 75,443.20
  4. Step 4: Simplify right side
    129,142.96x = 13,444,666,281.98
  5. Step 5: Solve for x
    x = 13,444,666,281.98/129,142.96
  6. Step 6: Final answer
    x = 104,106.85

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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.