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Finding the Fourth Proportional to 282,568.77, 423,806.45 and 93,031.74

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Solution

The fourth proportional to 282,568.77, 423,806.45 and 93,031.74 is: 139,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,568.77 : 423,806.45 = 93,031.74 : x
  2. Step 2: Convert to fraction form
    282,568.77/423,806.45 = 93,031.74/x
  3. Step 3: Cross multiply
    282,568.77x = 423,806.45 × 93,031.74
  4. Step 4: Simplify right side
    282,568.77x = 39,427,451,001.56
  5. Step 5: Solve for x
    x = 39,427,451,001.56/282,568.77
  6. Step 6: Final answer
    x = 139,532.23

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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.