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Finding the Fourth Proportional to 282,797.50, 424,196.34 and 83,117.92

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Solution

The fourth proportional to 282,797.50, 424,196.34 and 83,117.92 is: 124,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,797.50 : 424,196.34 = 83,117.92 : x
  2. Step 2: Convert to fraction form
    282,797.50/424,196.34 = 83,117.92/x
  3. Step 3: Cross multiply
    282,797.50x = 424,196.34 × 83,117.92
  4. Step 4: Simplify right side
    282,797.50x = 35,258,317,452.41
  5. Step 5: Solve for x
    x = 35,258,317,452.41/282,797.50
  6. Step 6: Final answer
    x = 124,676.91

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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.