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Finding the Fourth Proportional to 156,584.64, 234,876.16 and 38,256.64

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Solution

The fourth proportional to 156,584.64, 234,876.16 and 38,256.64 is: 57,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,584.64 : 234,876.16 = 38,256.64 : x
  2. Step 2: Convert to fraction form
    156,584.64/234,876.16 = 38,256.64/x
  3. Step 3: Cross multiply
    156,584.64x = 234,876.16 × 38,256.64
  4. Step 4: Simplify right side
    156,584.64x = 8,985,572,697.70
  5. Step 5: Solve for x
    x = 8,985,572,697.70/156,584.64
  6. Step 6: Final answer
    x = 57,384.76

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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.