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Finding the Fourth Proportional to 144,280.28, 216,432.76 and 37,678.44

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Solution

The fourth proportional to 144,280.28, 216,432.76 and 37,678.44 is: 56,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,280.28 : 216,432.76 = 37,678.44 : x
  2. Step 2: Convert to fraction form
    144,280.28/216,432.76 = 37,678.44/x
  3. Step 3: Cross multiply
    144,280.28x = 216,432.76 × 37,678.44
  4. Step 4: Simplify right side
    144,280.28x = 8,154,848,761.69
  5. Step 5: Solve for x
    x = 8,154,848,761.69/144,280.28
  6. Step 6: Final answer
    x = 56,520.88

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1.5x scale

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.