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Finding the Fourth Proportional to 282,462.76, 423,706.95 and 80,073.34

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Solution

The fourth proportional to 282,462.76, 423,706.95 and 80,073.34 is: 120,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,462.76 : 423,706.95 = 80,073.34 : x
  2. Step 2: Convert to fraction form
    282,462.76/423,706.95 = 80,073.34/x
  3. Step 3: Cross multiply
    282,462.76x = 423,706.95 × 80,073.34
  4. Step 4: Simplify right side
    282,462.76x = 33,927,631,991.80
  5. Step 5: Solve for x
    x = 33,927,631,991.80/282,462.76
  6. Step 6: Final answer
    x = 120,113.65

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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.