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Finding the Fourth Proportional to 127,912.10, 191,866.35 and 57,791.30

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Solution

The fourth proportional to 127,912.10, 191,866.35 and 57,791.30 is: 86,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,912.10 : 191,866.35 = 57,791.30 : x
  2. Step 2: Convert to fraction form
    127,912.10/191,866.35 = 57,791.30/x
  3. Step 3: Cross multiply
    127,912.10x = 191,866.35 × 57,791.30
  4. Step 4: Simplify right side
    127,912.10x = 11,088,205,792.76
  5. Step 5: Solve for x
    x = 11,088,205,792.76/127,912.10
  6. Step 6: Final answer
    x = 86,686.14

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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.