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Finding the Fourth Proportional to 361,123.61, 541,389.84 and 136,356.50

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Solution

The fourth proportional to 361,123.61, 541,389.84 and 136,356.50 is: 204,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,123.61 : 541,389.84 = 136,356.50 : x
  2. Step 2: Convert to fraction form
    361,123.61/541,389.84 = 136,356.50/x
  3. Step 3: Cross multiply
    361,123.61x = 541,389.84 × 136,356.50
  4. Step 4: Simplify right side
    361,123.61x = 73,822,021,011.01
  5. Step 5: Solve for x
    x = 73,822,021,011.01/361,123.61
  6. Step 6: Final answer
    x = 204,423.14

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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.