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Finding the Fourth Proportional to 227,901.48, 342,022.92 and 85,886.83

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Solution

The fourth proportional to 227,901.48, 342,022.92 and 85,886.83 is: 128,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,901.48 : 342,022.92 = 85,886.83 : x
  2. Step 2: Convert to fraction form
    227,901.48/342,022.92 = 85,886.83/x
  3. Step 3: Cross multiply
    227,901.48x = 342,022.92 × 85,886.83
  4. Step 4: Simplify right side
    227,901.48x = 29,375,264,386.14
  5. Step 5: Solve for x
    x = 29,375,264,386.14/227,901.48
  6. Step 6: Final answer
    x = 128,894.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.