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Finding the Fourth Proportional to 201,612.80, 302,407.04 and 89,260.16

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Solution

The fourth proportional to 201,612.80, 302,407.04 and 89,260.16 is: 133,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,612.80 : 302,407.04 = 89,260.16 : x
  2. Step 2: Convert to fraction form
    201,612.80/302,407.04 = 89,260.16/x
  3. Step 3: Cross multiply
    201,612.80x = 302,407.04 × 89,260.16
  4. Step 4: Simplify right side
    201,612.80x = 26,992,900,775.53
  5. Step 5: Solve for x
    x = 26,992,900,775.53/201,612.80
  6. Step 6: Final answer
    x = 133,884.86

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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.