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Finding the Fourth Proportional to 229,414.95, 316,643.23 and 127,475.43

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Solution

The fourth proportional to 229,414.95, 316,643.23 and 127,475.43 is: 175,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,414.95 : 316,643.23 = 127,475.43 : x
  2. Step 2: Convert to fraction form
    229,414.95/316,643.23 = 127,475.43/x
  3. Step 3: Cross multiply
    229,414.95x = 316,643.23 × 127,475.43
  4. Step 4: Simplify right side
    229,414.95x = 40,364,231,263.46
  5. Step 5: Solve for x
    x = 40,364,231,263.46/229,414.95
  6. Step 6: Final answer
    x = 175,944.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.