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Finding the Fourth Proportional to 201,829.35, 302,798.67 and 75,482.42

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Solution

The fourth proportional to 201,829.35, 302,798.67 and 75,482.42 is: 113,244.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,829.35 : 302,798.67 = 75,482.42 : x
  2. Step 2: Convert to fraction form
    201,829.35/302,798.67 = 75,482.42/x
  3. Step 3: Cross multiply
    201,829.35x = 302,798.67 × 75,482.42
  4. Step 4: Simplify right side
    201,829.35x = 22,855,976,006.97
  5. Step 5: Solve for x
    x = 22,855,976,006.97/201,829.35
  6. Step 6: Final answer
    x = 113,244.07

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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.