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Finding the Fourth Proportional to 192,084.60, 288,126.90 and 145,428.60

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Solution

The fourth proportional to 192,084.60, 288,126.90 and 145,428.60 is: 218,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,084.60 : 288,126.90 = 145,428.60 : x
  2. Step 2: Convert to fraction form
    192,084.60/288,126.90 = 145,428.60/x
  3. Step 3: Cross multiply
    192,084.60x = 288,126.90 × 145,428.60
  4. Step 4: Simplify right side
    192,084.60x = 41,901,891,689.34
  5. Step 5: Solve for x
    x = 41,901,891,689.34/192,084.60
  6. Step 6: Final answer
    x = 218,142.90

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1.5x scale

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.