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Finding the Fourth Proportional to 156,202.32, 215,456.80 and 110,329.32

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Solution

The fourth proportional to 156,202.32, 215,456.80 and 110,329.32 is: 152,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,202.32 : 215,456.80 = 110,329.32 : x
  2. Step 2: Convert to fraction form
    156,202.32/215,456.80 = 110,329.32/x
  3. Step 3: Cross multiply
    156,202.32x = 215,456.80 × 110,329.32
  4. Step 4: Simplify right side
    156,202.32x = 23,771,202,233.38
  5. Step 5: Solve for x
    x = 23,771,202,233.38/156,202.32
  6. Step 6: Final answer
    x = 152,182.13

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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.