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Finding the Fourth Proportional to 124,202.70, 186,427.65 and 57,657.90

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Solution

The fourth proportional to 124,202.70, 186,427.65 and 57,657.90 is: 86,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,202.70 : 186,427.65 = 57,657.90 : x
  2. Step 2: Convert to fraction form
    124,202.70/186,427.65 = 57,657.90/x
  3. Step 3: Cross multiply
    124,202.70x = 186,427.65 × 57,657.90
  4. Step 4: Simplify right side
    124,202.70x = 10,749,026,800.94
  5. Step 5: Solve for x
    x = 10,749,026,800.94/124,202.70
  6. Step 6: Final answer
    x = 86,544.23

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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.