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Finding the Fourth Proportional to 127,953.32, 191,952.68 and 61,513.88

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Solution

The fourth proportional to 127,953.32, 191,952.68 and 61,513.88 is: 92,281.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,953.32 : 191,952.68 = 61,513.88 : x
  2. Step 2: Convert to fraction form
    127,953.32/191,952.68 = 61,513.88/x
  3. Step 3: Cross multiply
    127,953.32x = 191,952.68 × 61,513.88
  4. Step 4: Simplify right side
    127,953.32x = 11,807,754,123.20
  5. Step 5: Solve for x
    x = 11,807,754,123.20/127,953.32
  6. Step 6: Final answer
    x = 92,281.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.