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Finding the Fourth Proportional to 251,693.29, 377,277.49 and 102,036.88

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Solution

The fourth proportional to 251,693.29, 377,277.49 and 102,036.88 is: 152,948.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,693.29 : 377,277.49 = 102,036.88 : x
  2. Step 2: Convert to fraction form
    251,693.29/377,277.49 = 102,036.88/x
  3. Step 3: Cross multiply
    251,693.29x = 377,277.49 × 102,036.88
  4. Step 4: Simplify right side
    251,693.29x = 38,496,217,973.83
  5. Step 5: Solve for x
    x = 38,496,217,973.83/251,693.29
  6. Step 6: Final answer
    x = 152,948.92

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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.