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Finding the Fourth Proportional to 282,709.70, 424,064.55 and 95,721.20

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Solution

The fourth proportional to 282,709.70, 424,064.55 and 95,721.20 is: 143,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,709.70 : 424,064.55 = 95,721.20 : x
  2. Step 2: Convert to fraction form
    282,709.70/424,064.55 = 95,721.20/x
  3. Step 3: Cross multiply
    282,709.70x = 424,064.55 × 95,721.20
  4. Step 4: Simplify right side
    282,709.70x = 40,591,967,603.46
  5. Step 5: Solve for x
    x = 40,591,967,603.46/282,709.70
  6. Step 6: Final answer
    x = 143,581.80

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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.