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Finding the Fourth Proportional to 282,889.55, 424,536.98 and 102,974.58

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Solution

The fourth proportional to 282,889.55, 424,536.98 and 102,974.58 is: 154,535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,889.55 : 424,536.98 = 102,974.58 : x
  2. Step 2: Convert to fraction form
    282,889.55/424,536.98 = 102,974.58/x
  3. Step 3: Cross multiply
    282,889.55x = 424,536.98 × 102,974.58
  4. Step 4: Simplify right side
    282,889.55x = 43,716,517,209.97
  5. Step 5: Solve for x
    x = 43,716,517,209.97/282,889.55
  6. Step 6: Final answer
    x = 154,535.64

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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.