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Finding the Fourth Proportional to 156,097.38, 215,412.72 and 84,475.80

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Solution

The fourth proportional to 156,097.38, 215,412.72 and 84,475.80 is: 116,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,097.38 : 215,412.72 = 84,475.80 : x
  2. Step 2: Convert to fraction form
    156,097.38/215,412.72 = 84,475.80/x
  3. Step 3: Cross multiply
    156,097.38x = 215,412.72 × 84,475.80
  4. Step 4: Simplify right side
    156,097.38x = 18,197,161,852.18
  5. Step 5: Solve for x
    x = 18,197,161,852.18/156,097.38
  6. Step 6: Final answer
    x = 116,575.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.