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Finding the Fourth Proportional to 224,004.90, 309,126.76 and 123,402.90

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Solution

The fourth proportional to 224,004.90, 309,126.76 and 123,402.90 is: 170,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,004.90 : 309,126.76 = 123,402.90 : x
  2. Step 2: Convert to fraction form
    224,004.90/309,126.76 = 123,402.90/x
  3. Step 3: Cross multiply
    224,004.90x = 309,126.76 × 123,402.90
  4. Step 4: Simplify right side
    224,004.90x = 38,147,138,343.10
  5. Step 5: Solve for x
    x = 38,147,138,343.10/224,004.90
  6. Step 6: Final answer
    x = 170,296.00

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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.