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Finding the Fourth Proportional to 224,751.07, 310,165.92 and 129,257.85

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Solution

The fourth proportional to 224,751.07, 310,165.92 and 129,257.85 is: 178,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,751.07 : 310,165.92 = 129,257.85 : x
  2. Step 2: Convert to fraction form
    224,751.07/310,165.92 = 129,257.85/x
  3. Step 3: Cross multiply
    224,751.07x = 310,165.92 × 129,257.85
  4. Step 4: Simplify right side
    224,751.07x = 40,091,379,962.47
  5. Step 5: Solve for x
    x = 40,091,379,962.47/224,751.07
  6. Step 6: Final answer
    x = 178,381.26

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1.5x scale

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.