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Finding the Fourth Proportional to 229,153.42, 316,235.14 and 127,185.46

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Solution

The fourth proportional to 229,153.42, 316,235.14 and 127,185.46 is: 175,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,153.42 : 316,235.14 = 127,185.46 : x
  2. Step 2: Convert to fraction form
    229,153.42/316,235.14 = 127,185.46/x
  3. Step 3: Cross multiply
    229,153.42x = 316,235.14 × 127,185.46
  4. Step 4: Simplify right side
    229,153.42x = 40,220,510,640.51
  5. Step 5: Solve for x
    x = 40,220,510,640.51/229,153.42
  6. Step 6: Final answer
    x = 175,517.83

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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.