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Finding the Fourth Proportional to 225,700.69, 338,595.32 and 83,547.21

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Solution

The fourth proportional to 225,700.69, 338,595.32 and 83,547.21 is: 125,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,700.69 : 338,595.32 = 83,547.21 : x
  2. Step 2: Convert to fraction form
    225,700.69/338,595.32 = 83,547.21/x
  3. Step 3: Cross multiply
    225,700.69x = 338,595.32 × 83,547.21
  4. Step 4: Simplify right side
    225,700.69x = 28,288,694,305.06
  5. Step 5: Solve for x
    x = 28,288,694,305.06/225,700.69
  6. Step 6: Final answer
    x = 125,337.21

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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.