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Finding the Fourth Proportional to 141,097.66, 194,719.47 and 77,438.92

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Solution

The fourth proportional to 141,097.66, 194,719.47 and 77,438.92 is: 106,868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,097.66 : 194,719.47 = 77,438.92 : x
  2. Step 2: Convert to fraction form
    141,097.66/194,719.47 = 77,438.92/x
  3. Step 3: Cross multiply
    141,097.66x = 194,719.47 × 77,438.92
  4. Step 4: Simplify right side
    141,097.66x = 15,078,865,459.77
  5. Step 5: Solve for x
    x = 15,078,865,459.77/141,097.66
  6. Step 6: Final answer
    x = 106,868.29

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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.