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Finding the Fourth Proportional to 282,854.68, 424,399.52 and 114,494.02

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Solution

The fourth proportional to 282,854.68, 424,399.52 and 114,494.02 is: 171,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,854.68 : 424,399.52 = 114,494.02 : x
  2. Step 2: Convert to fraction form
    282,854.68/424,399.52 = 114,494.02/x
  3. Step 3: Cross multiply
    282,854.68x = 424,399.52 × 114,494.02
  4. Step 4: Simplify right side
    282,854.68x = 48,591,207,130.87
  5. Step 5: Solve for x
    x = 48,591,207,130.87/282,854.68
  6. Step 6: Final answer
    x = 171,788.59

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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.