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Finding the Fourth Proportional to 214,442, 295,930.20 and 125,035.28

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Solution

The fourth proportional to 214,442, 295,930.20 and 125,035.28 is: 172,548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,442 : 295,930.20 = 125,035.28 : x
  2. Step 2: Convert to fraction form
    214,442/295,930.20 = 125,035.28/x
  3. Step 3: Cross multiply
    214,442x = 295,930.20 × 125,035.28
  4. Step 4: Simplify right side
    214,442x = 37,001,715,417.46
  5. Step 5: Solve for x
    x = 37,001,715,417.46/214,442
  6. Step 6: Final answer
    x = 172,548.83

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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.