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Finding the Fourth Proportional to 149,262.32, 223,809.24 and 55,730

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Solution

The fourth proportional to 149,262.32, 223,809.24 and 55,730 is: 83,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,262.32 : 223,809.24 = 55,730 : x
  2. Step 2: Convert to fraction form
    149,262.32/223,809.24 = 55,730/x
  3. Step 3: Cross multiply
    149,262.32x = 223,809.24 × 55,730
  4. Step 4: Simplify right side
    149,262.32x = 12,472,888,945.20
  5. Step 5: Solve for x
    x = 12,472,888,945.20/149,262.32
  6. Step 6: Final answer
    x = 83,563.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.