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Finding the Fourth Proportional to 224,535.41, 309,927.53 and 138,521.14

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Solution

The fourth proportional to 224,535.41, 309,927.53 and 138,521.14 is: 191,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,535.41 : 309,927.53 = 138,521.14 : x
  2. Step 2: Convert to fraction form
    224,535.41/309,927.53 = 138,521.14/x
  3. Step 3: Cross multiply
    224,535.41x = 309,927.53 × 138,521.14
  4. Step 4: Simplify right side
    224,535.41x = 42,931,514,344.47
  5. Step 5: Solve for x
    x = 42,931,514,344.47/224,535.41
  6. Step 6: Final answer
    x = 191,201.53

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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.