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Finding the Fourth Proportional to 125,742.78, 188,637.48 and 41,508.80

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Solution

The fourth proportional to 125,742.78, 188,637.48 and 41,508.80 is: 62,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,742.78 : 188,637.48 = 41,508.80 : x
  2. Step 2: Convert to fraction form
    125,742.78/188,637.48 = 41,508.80/x
  3. Step 3: Cross multiply
    125,742.78x = 188,637.48 × 41,508.80
  4. Step 4: Simplify right side
    125,742.78x = 7,830,115,429.82
  5. Step 5: Solve for x
    x = 7,830,115,429.82/125,742.78
  6. Step 6: Final answer
    x = 62,270.89

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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.