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Finding the Fourth Proportional to 156,535.70, 234,781.59 and 51,341

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Solution

The fourth proportional to 156,535.70, 234,781.59 and 51,341 is: 77,004.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,535.70 : 234,781.59 = 51,341 : x
  2. Step 2: Convert to fraction form
    156,535.70/234,781.59 = 51,341/x
  3. Step 3: Cross multiply
    156,535.70x = 234,781.59 × 51,341
  4. Step 4: Simplify right side
    156,535.70x = 12,053,921,612.19
  5. Step 5: Solve for x
    x = 12,053,921,612.19/156,535.70
  6. Step 6: Final answer
    x = 77,004.30

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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.