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Finding the Fourth Proportional to 130,167.78, 195,028.77 and 71,044.93

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Solution

The fourth proportional to 130,167.78, 195,028.77 and 71,044.93 is: 106,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,167.78 : 195,028.77 = 71,044.93 : x
  2. Step 2: Convert to fraction form
    130,167.78/195,028.77 = 71,044.93/x
  3. Step 3: Cross multiply
    130,167.78x = 195,028.77 × 71,044.93
  4. Step 4: Simplify right side
    130,167.78x = 13,855,805,312.64
  5. Step 5: Solve for x
    x = 13,855,805,312.64/130,167.78
  6. Step 6: Final answer
    x = 106,445.74

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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.