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Finding the Fourth Proportional to 127,758.90, 191,675.34 and 52,865.22

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Solution

The fourth proportional to 127,758.90, 191,675.34 and 52,865.22 is: 79,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,758.90 : 191,675.34 = 52,865.22 : x
  2. Step 2: Convert to fraction form
    127,758.90/191,675.34 = 52,865.22/x
  3. Step 3: Cross multiply
    127,758.90x = 191,675.34 × 52,865.22
  4. Step 4: Simplify right side
    127,758.90x = 10,132,959,017.67
  5. Step 5: Solve for x
    x = 10,132,959,017.67/127,758.90
  6. Step 6: Final answer
    x = 79,313.14

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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.