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Finding the Fourth Proportional to 282,438.54, 423,657.57 and 72,076.48

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Solution

The fourth proportional to 282,438.54, 423,657.57 and 72,076.48 is: 108,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,438.54 : 423,657.57 = 72,076.48 : x
  2. Step 2: Convert to fraction form
    282,438.54/423,657.57 = 72,076.48/x
  3. Step 3: Cross multiply
    282,438.54x = 423,657.57 × 72,076.48
  4. Step 4: Simplify right side
    282,438.54x = 30,535,746,370.95
  5. Step 5: Solve for x
    x = 30,535,746,370.95/282,438.54
  6. Step 6: Final answer
    x = 108,114.66

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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.