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Finding the Fourth Proportional to 83,205.20, 124,807.80 and 46,269.20

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Solution

The fourth proportional to 83,205.20, 124,807.80 and 46,269.20 is: 69,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,205.20 : 124,807.80 = 46,269.20 : x
  2. Step 2: Convert to fraction form
    83,205.20/124,807.80 = 46,269.20/x
  3. Step 3: Cross multiply
    83,205.20x = 124,807.80 × 46,269.20
  4. Step 4: Simplify right side
    83,205.20x = 5,774,757,059.76
  5. Step 5: Solve for x
    x = 5,774,757,059.76/83,205.20
  6. Step 6: Final answer
    x = 69,403.80

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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.