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Finding the Fourth Proportional to 141,162.74, 194,802.14 and 77,500.08

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Solution

The fourth proportional to 141,162.74, 194,802.14 and 77,500.08 is: 106,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,162.74 : 194,802.14 = 77,500.08 : x
  2. Step 2: Convert to fraction form
    141,162.74/194,802.14 = 77,500.08/x
  3. Step 3: Cross multiply
    141,162.74x = 194,802.14 × 77,500.08
  4. Step 4: Simplify right side
    141,162.74x = 15,097,181,434.17
  5. Step 5: Solve for x
    x = 15,097,181,434.17/141,162.74
  6. Step 6: Final answer
    x = 106,948.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.