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Finding the Fourth Proportional to 282,789.68, 424,184.52 and 114,384.56

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Solution

The fourth proportional to 282,789.68, 424,184.52 and 114,384.56 is: 171,576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,789.68 : 424,184.52 = 114,384.56 : x
  2. Step 2: Convert to fraction form
    282,789.68/424,184.52 = 114,384.56/x
  3. Step 3: Cross multiply
    282,789.68x = 424,184.52 × 114,384.56
  4. Step 4: Simplify right side
    282,789.68x = 48,520,159,679.01
  5. Step 5: Solve for x
    x = 48,520,159,679.01/282,789.68
  6. Step 6: Final answer
    x = 171,576.84

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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.