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Finding the Fourth Proportional to 224,949.20, 310,420.44 and 129,459.20

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Solution

The fourth proportional to 224,949.20, 310,420.44 and 129,459.20 is: 178,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,949.20 : 310,420.44 = 129,459.20 : x
  2. Step 2: Convert to fraction form
    224,949.20/310,420.44 = 129,459.20/x
  3. Step 3: Cross multiply
    224,949.20x = 310,420.44 × 129,459.20
  4. Step 4: Simplify right side
    224,949.20x = 40,186,781,826.05
  5. Step 5: Solve for x
    x = 40,186,781,826.05/224,949.20
  6. Step 6: Final answer
    x = 178,648.25

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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.