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Finding the Fourth Proportional to 125,493.90, 188,264.16 and 41,258.76

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Solution

The fourth proportional to 125,493.90, 188,264.16 and 41,258.76 is: 61,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,493.90 : 188,264.16 = 41,258.76 : x
  2. Step 2: Convert to fraction form
    125,493.90/188,264.16 = 41,258.76/x
  3. Step 3: Cross multiply
    125,493.90x = 188,264.16 × 41,258.76
  4. Step 4: Simplify right side
    125,493.90x = 7,767,545,794.04
  5. Step 5: Solve for x
    x = 7,767,545,794.04/125,493.90
  6. Step 6: Final answer
    x = 61,895.80

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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.