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Finding the Fourth Proportional to 224,768.52, 310,180.32 and 129,272.76

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Solution

The fourth proportional to 224,768.52, 310,180.32 and 129,272.76 is: 178,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,768.52 : 310,180.32 = 129,272.76 : x
  2. Step 2: Convert to fraction form
    224,768.52/310,180.32 = 129,272.76/x
  3. Step 3: Cross multiply
    224,768.52x = 310,180.32 × 129,272.76
  4. Step 4: Simplify right side
    224,768.52x = 40,097,866,064.08
  5. Step 5: Solve for x
    x = 40,097,866,064.08/224,768.52
  6. Step 6: Final answer
    x = 178,396.27

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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.