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Finding the Fourth Proportional to 141,162.68, 194,802.07 and 77,500.02

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Solution

The fourth proportional to 141,162.68, 194,802.07 and 77,500.02 is: 106,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,162.68 : 194,802.07 = 77,500.02 : x
  2. Step 2: Convert to fraction form
    141,162.68/194,802.07 = 77,500.02/x
  3. Step 3: Cross multiply
    141,162.68x = 194,802.07 × 77,500.02
  4. Step 4: Simplify right side
    141,162.68x = 15,097,164,321.04
  5. Step 5: Solve for x
    x = 15,097,164,321.04/141,162.68
  6. Step 6: Final answer
    x = 106,948.69

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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.