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Finding the Fourth Proportional to 229,102.95, 316,163.76 and 127,128.81

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Solution

The fourth proportional to 229,102.95, 316,163.76 and 127,128.81 is: 175,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,102.95 : 316,163.76 = 127,128.81 : x
  2. Step 2: Convert to fraction form
    229,102.95/316,163.76 = 127,128.81/x
  3. Step 3: Cross multiply
    229,102.95x = 316,163.76 × 127,128.81
  4. Step 4: Simplify right side
    229,102.95x = 40,193,522,573.93
  5. Step 5: Solve for x
    x = 40,193,522,573.93/229,102.95
  6. Step 6: Final answer
    x = 175,438.70

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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.