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Finding the Fourth Proportional to 224,534.40, 309,857.28 and 123,932.16

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Solution

The fourth proportional to 224,534.40, 309,857.28 and 123,932.16 is: 171,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,534.40 : 309,857.28 = 123,932.16 : x
  2. Step 2: Convert to fraction form
    224,534.40/309,857.28 = 123,932.16/x
  3. Step 3: Cross multiply
    224,534.40x = 309,857.28 × 123,932.16
  4. Step 4: Simplify right side
    224,534.40x = 38,401,282,002.12
  5. Step 5: Solve for x
    x = 38,401,282,002.12/224,534.40
  6. Step 6: Final answer
    x = 171,026.27

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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.