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Finding the Fourth Proportional to 201,581.17, 302,348.37 and 75,225.83

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Solution

The fourth proportional to 201,581.17, 302,348.37 and 75,225.83 is: 112,830.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,581.17 : 302,348.37 = 75,225.83 : x
  2. Step 2: Convert to fraction form
    201,581.17/302,348.37 = 75,225.83/x
  3. Step 3: Cross multiply
    201,581.17x = 302,348.37 × 75,225.83
  4. Step 4: Simplify right side
    201,581.17x = 22,744,407,341.89
  5. Step 5: Solve for x
    x = 22,744,407,341.89/201,581.17
  6. Step 6: Final answer
    x = 112,830.02

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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.