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Finding the Fourth Proportional to 229,165.83, 316,252.22 and 127,197.83

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Solution

The fourth proportional to 229,165.83, 316,252.22 and 127,197.83 is: 175,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,165.83 : 316,252.22 = 127,197.83 : x
  2. Step 2: Convert to fraction form
    229,165.83/316,252.22 = 127,197.83/x
  3. Step 3: Cross multiply
    229,165.83x = 316,252.22 × 127,197.83
  4. Step 4: Simplify right side
    229,165.83x = 40,226,596,271.32
  5. Step 5: Solve for x
    x = 40,226,596,271.32/229,165.83
  6. Step 6: Final answer
    x = 175,534.88

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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.