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Finding the Fourth Proportional to 282,489.92, 423,529.59 and 132,653.06

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Solution

The fourth proportional to 282,489.92, 423,529.59 and 132,653.06 is: 198,883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,489.92 : 423,529.59 = 132,653.06 : x
  2. Step 2: Convert to fraction form
    282,489.92/423,529.59 = 132,653.06/x
  3. Step 3: Cross multiply
    282,489.92x = 423,529.59 × 132,653.06
  4. Step 4: Simplify right side
    282,489.92x = 56,182,496,114.05
  5. Step 5: Solve for x
    x = 56,182,496,114.05/282,489.92
  6. Step 6: Final answer
    x = 198,883.19

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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.