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Finding the Fourth Proportional to 361,575.69, 542,369.22 and 136,875.81

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Solution

The fourth proportional to 361,575.69, 542,369.22 and 136,875.81 is: 205,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,575.69 : 542,369.22 = 136,875.81 : x
  2. Step 2: Convert to fraction form
    361,575.69/542,369.22 = 136,875.81/x
  3. Step 3: Cross multiply
    361,575.69x = 542,369.22 × 136,875.81
  4. Step 4: Simplify right side
    361,575.69x = 74,237,226,306.57
  5. Step 5: Solve for x
    x = 74,237,226,306.57/361,575.69
  6. Step 6: Final answer
    x = 205,315.87

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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.