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Finding the Fourth Proportional to 232,177.68, 348,266.52 and 185,725.80

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Solution

The fourth proportional to 232,177.68, 348,266.52 and 185,725.80 is: 278,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,177.68 : 348,266.52 = 185,725.80 : x
  2. Step 2: Convert to fraction form
    232,177.68/348,266.52 = 185,725.80/x
  3. Step 3: Cross multiply
    232,177.68x = 348,266.52 × 185,725.80
  4. Step 4: Simplify right side
    232,177.68x = 64,682,078,040.22
  5. Step 5: Solve for x
    x = 64,682,078,040.22/232,177.68
  6. Step 6: Final answer
    x = 278,588.70

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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.