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Finding the Fourth Proportional to 293,787.52, 440,602.56 and 127,536

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Solution

The fourth proportional to 293,787.52, 440,602.56 and 127,536 is: 191,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,787.52 : 440,602.56 = 127,536 : x
  2. Step 2: Convert to fraction form
    293,787.52/440,602.56 = 127,536/x
  3. Step 3: Cross multiply
    293,787.52x = 440,602.56 × 127,536
  4. Step 4: Simplify right side
    293,787.52x = 56,192,688,092.16
  5. Step 5: Solve for x
    x = 56,192,688,092.16/293,787.52
  6. Step 6: Final answer
    x = 191,269.83

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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.