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Finding the Fourth Proportional to 114,689.60, 172,034.40 and 89,806.40

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Solution

The fourth proportional to 114,689.60, 172,034.40 and 89,806.40 is: 134,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,689.60 : 172,034.40 = 89,806.40 : x
  2. Step 2: Convert to fraction form
    114,689.60/172,034.40 = 89,806.40/x
  3. Step 3: Cross multiply
    114,689.60x = 172,034.40 × 89,806.40
  4. Step 4: Simplify right side
    114,689.60x = 15,449,790,140.16
  5. Step 5: Solve for x
    x = 15,449,790,140.16/114,689.60
  6. Step 6: Final answer
    x = 134,709.60

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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.