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Finding the Fourth Proportional to 121,713, 182,592.54 and 56,049

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Solution

The fourth proportional to 121,713, 182,592.54 and 56,049 is: 84,084.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,713 : 182,592.54 = 56,049 : x
  2. Step 2: Convert to fraction form
    121,713/182,592.54 = 56,049/x
  3. Step 3: Cross multiply
    121,713x = 182,592.54 × 56,049
  4. Step 4: Simplify right side
    121,713x = 10,234,129,274.46
  5. Step 5: Solve for x
    x = 10,234,129,274.46/121,713
  6. Step 6: Final answer
    x = 84,084.11

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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.