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Finding the Fourth Proportional to 150,894.68, 208,156.57 and 102,499.10

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Solution

The fourth proportional to 150,894.68, 208,156.57 and 102,499.10 is: 141,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,894.68 : 208,156.57 = 102,499.10 : x
  2. Step 2: Convert to fraction form
    150,894.68/208,156.57 = 102,499.10/x
  3. Step 3: Cross multiply
    150,894.68x = 208,156.57 × 102,499.10
  4. Step 4: Simplify right side
    150,894.68x = 21,335,861,084.09
  5. Step 5: Solve for x
    x = 21,335,861,084.09/150,894.68
  6. Step 6: Final answer
    x = 141,395.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.