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Finding the Fourth Proportional to 125,742.51, 188,637.09 and 41,508.54

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Solution

The fourth proportional to 125,742.51, 188,637.09 and 41,508.54 is: 62,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,742.51 : 188,637.09 = 41,508.54 : x
  2. Step 2: Convert to fraction form
    125,742.51/188,637.09 = 41,508.54/x
  3. Step 3: Cross multiply
    125,742.51x = 188,637.09 × 41,508.54
  4. Step 4: Simplify right side
    125,742.51x = 7,830,050,195.75
  5. Step 5: Solve for x
    x = 7,830,050,195.75/125,742.51
  6. Step 6: Final answer
    x = 62,270.51

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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.