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Finding the Fourth Proportional to 229,165.22, 316,251.42 and 127,197.30

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Solution

The fourth proportional to 229,165.22, 316,251.42 and 127,197.30 is: 175,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,165.22 : 316,251.42 = 127,197.30 : x
  2. Step 2: Convert to fraction form
    229,165.22/316,251.42 = 127,197.30/x
  3. Step 3: Cross multiply
    229,165.22x = 316,251.42 × 127,197.30
  4. Step 4: Simplify right side
    229,165.22x = 40,226,326,745.17
  5. Step 5: Solve for x
    x = 40,226,326,745.17/229,165.22
  6. Step 6: Final answer
    x = 175,534.17

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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.