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Finding the Fourth Proportional to 141,212.88, 194,875.12 and 77,552

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Solution

The fourth proportional to 141,212.88, 194,875.12 and 77,552 is: 107,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,212.88 : 194,875.12 = 77,552 : x
  2. Step 2: Convert to fraction form
    141,212.88/194,875.12 = 77,552/x
  3. Step 3: Cross multiply
    141,212.88x = 194,875.12 × 77,552
  4. Step 4: Simplify right side
    141,212.88x = 15,112,955,306.24
  5. Step 5: Solve for x
    x = 15,112,955,306.24/141,212.88
  6. Step 6: Final answer
    x = 107,022.50

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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.