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Finding the Fourth Proportional to 282,295.70, 389,568.46 and 153,234.10

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Solution

The fourth proportional to 282,295.70, 389,568.46 and 153,234.10 is: 211,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,295.70 : 389,568.46 = 153,234.10 : x
  2. Step 2: Convert to fraction form
    282,295.70/389,568.46 = 153,234.10/x
  3. Step 3: Cross multiply
    282,295.70x = 389,568.46 × 153,234.10
  4. Step 4: Simplify right side
    282,295.70x = 59,695,172,356.49
  5. Step 5: Solve for x
    x = 59,695,172,356.49/282,295.70
  6. Step 6: Final answer
    x = 211,463.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.