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Finding the Fourth Proportional to 118,782.28, 178,156.14 and 44,893

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Solution

The fourth proportional to 118,782.28, 178,156.14 and 44,893 is: 67,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,782.28 : 178,156.14 = 44,893 : x
  2. Step 2: Convert to fraction form
    118,782.28/178,156.14 = 44,893/x
  3. Step 3: Cross multiply
    118,782.28x = 178,156.14 × 44,893
  4. Step 4: Simplify right side
    118,782.28x = 7,997,963,593.02
  5. Step 5: Solve for x
    x = 7,997,963,593.02/118,782.28
  6. Step 6: Final answer
    x = 67,332.97

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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.