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Finding the Fourth Proportional to 200,547.80, 300,902.70 and 88,249.40

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Solution

The fourth proportional to 200,547.80, 300,902.70 and 88,249.40 is: 132,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,547.80 : 300,902.70 = 88,249.40 : x
  2. Step 2: Convert to fraction form
    200,547.80/300,902.70 = 88,249.40/x
  3. Step 3: Cross multiply
    200,547.80x = 300,902.70 × 88,249.40
  4. Step 4: Simplify right side
    200,547.80x = 26,554,482,733.38
  5. Step 5: Solve for x
    x = 26,554,482,733.38/200,547.80
  6. Step 6: Final answer
    x = 132,409.74

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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.