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Finding the Fourth Proportional to 141,802.69, 195,689.02 and 78,142.76

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Solution

The fourth proportional to 141,802.69, 195,689.02 and 78,142.76 is: 107,837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,802.69 : 195,689.02 = 78,142.76 : x
  2. Step 2: Convert to fraction form
    141,802.69/195,689.02 = 78,142.76/x
  3. Step 3: Cross multiply
    141,802.69x = 195,689.02 × 78,142.76
  4. Step 4: Simplify right side
    141,802.69x = 15,291,680,124.50
  5. Step 5: Solve for x
    x = 15,291,680,124.50/141,802.69
  6. Step 6: Final answer
    x = 107,837.73

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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.