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Finding the Fourth Proportional to 224,197.28, 309,394.64 and 123,598.88

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Solution

The fourth proportional to 224,197.28, 309,394.64 and 123,598.88 is: 170,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,197.28 : 309,394.64 = 123,598.88 : x
  2. Step 2: Convert to fraction form
    224,197.28/309,394.64 = 123,598.88/x
  3. Step 3: Cross multiply
    224,197.28x = 309,394.64 × 123,598.88
  4. Step 4: Simplify right side
    224,197.28x = 38,240,830,982.00
  5. Step 5: Solve for x
    x = 38,240,830,982.00/224,197.28
  6. Step 6: Final answer
    x = 170,567.77

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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.