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Finding the Fourth Proportional to 224,025, 309,154.50 and 123,425.16

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Solution

The fourth proportional to 224,025, 309,154.50 and 123,425.16 is: 170,326.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,025 : 309,154.50 = 123,425.16 : x
  2. Step 2: Convert to fraction form
    224,025/309,154.50 = 123,425.16/x
  3. Step 3: Cross multiply
    224,025x = 309,154.50 × 123,425.16
  4. Step 4: Simplify right side
    224,025x = 38,157,443,627.22
  5. Step 5: Solve for x
    x = 38,157,443,627.22/224,025
  6. Step 6: Final answer
    x = 170,326.72

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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.