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Finding the Fourth Proportional to 226,132.48, 312,050.64 and 125,524

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Solution

The fourth proportional to 226,132.48, 312,050.64 and 125,524 is: 173,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,132.48 : 312,050.64 = 125,524 : x
  2. Step 2: Convert to fraction form
    226,132.48/312,050.64 = 125,524/x
  3. Step 3: Cross multiply
    226,132.48x = 312,050.64 × 125,524
  4. Step 4: Simplify right side
    226,132.48x = 39,169,844,535.36
  5. Step 5: Solve for x
    x = 39,169,844,535.36/226,132.48
  6. Step 6: Final answer
    x = 173,216.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.