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Finding the Fourth Proportional to 140,719.62, 194,191.65 and 77,053.62

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Solution

The fourth proportional to 140,719.62, 194,191.65 and 77,053.62 is: 106,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,719.62 : 194,191.65 = 77,053.62 : x
  2. Step 2: Convert to fraction form
    140,719.62/194,191.65 = 77,053.62/x
  3. Step 3: Cross multiply
    140,719.62x = 194,191.65 × 77,053.62
  4. Step 4: Simplify right side
    140,719.62x = 14,963,169,606.27
  5. Step 5: Solve for x
    x = 14,963,169,606.27/140,719.62
  6. Step 6: Final answer
    x = 106,333.21

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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.