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Finding the Fourth Proportional to 224,492.80, 337,205.76 and 178,070.08

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Solution

The fourth proportional to 224,492.80, 337,205.76 and 178,070.08 is: 267,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,492.80 : 337,205.76 = 178,070.08 : x
  2. Step 2: Convert to fraction form
    224,492.80/337,205.76 = 178,070.08/x
  3. Step 3: Cross multiply
    224,492.80x = 337,205.76 × 178,070.08
  4. Step 4: Simplify right side
    224,492.80x = 60,046,256,659.66
  5. Step 5: Solve for x
    x = 60,046,256,659.66/224,492.80
  6. Step 6: Final answer
    x = 267,475.20

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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.