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Finding the Fourth Proportional to 114,733.60, 172,100.40 and 89,850.40

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Solution

The fourth proportional to 114,733.60, 172,100.40 and 89,850.40 is: 134,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,733.60 : 172,100.40 = 89,850.40 : x
  2. Step 2: Convert to fraction form
    114,733.60/172,100.40 = 89,850.40/x
  3. Step 3: Cross multiply
    114,733.60x = 172,100.40 × 89,850.40
  4. Step 4: Simplify right side
    114,733.60x = 15,463,289,780.16
  5. Step 5: Solve for x
    x = 15,463,289,780.16/114,733.60
  6. Step 6: Final answer
    x = 134,775.60

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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.