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Finding the Fourth Proportional to 224,726.40, 336,916.80 and 126,230.40

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Solution

The fourth proportional to 224,726.40, 336,916.80 and 126,230.40 is: 189,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,726.40 : 336,916.80 = 126,230.40 : x
  2. Step 2: Convert to fraction form
    224,726.40/336,916.80 = 126,230.40/x
  3. Step 3: Cross multiply
    224,726.40x = 336,916.80 × 126,230.40
  4. Step 4: Simplify right side
    224,726.40x = 42,529,142,430.72
  5. Step 5: Solve for x
    x = 42,529,142,430.72/224,726.40
  6. Step 6: Final answer
    x = 189,248.54

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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.