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Finding the Fourth Proportional to 224,031.12, 309,162.76 and 123,429.12

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Solution

The fourth proportional to 224,031.12, 309,162.76 and 123,429.12 is: 170,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,031.12 : 309,162.76 = 123,429.12 : x
  2. Step 2: Convert to fraction form
    224,031.12/309,162.76 = 123,429.12/x
  3. Step 3: Cross multiply
    224,031.12x = 309,162.76 × 123,429.12
  4. Step 4: Simplify right side
    224,031.12x = 38,159,687,403.57
  5. Step 5: Solve for x
    x = 38,159,687,403.57/224,031.12
  6. Step 6: Final answer
    x = 170,332.08

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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.