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Finding the Fourth Proportional to 225,813.62, 338,733.19 and 99,513.16

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Solution

The fourth proportional to 225,813.62, 338,733.19 and 99,513.16 is: 149,275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,813.62 : 338,733.19 = 99,513.16 : x
  2. Step 2: Convert to fraction form
    225,813.62/338,733.19 = 99,513.16/x
  3. Step 3: Cross multiply
    225,813.62x = 338,733.19 × 99,513.16
  4. Step 4: Simplify right side
    225,813.62x = 33,708,409,411.34
  5. Step 5: Solve for x
    x = 33,708,409,411.34/225,813.62
  6. Step 6: Final answer
    x = 149,275.36

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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.