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Finding the Fourth Proportional to 150,646.41, 207,894.47 and 86,989.77

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Solution

The fourth proportional to 150,646.41, 207,894.47 and 86,989.77 is: 120,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,646.41 : 207,894.47 = 86,989.77 : x
  2. Step 2: Convert to fraction form
    150,646.41/207,894.47 = 86,989.77/x
  3. Step 3: Cross multiply
    150,646.41x = 207,894.47 × 86,989.77
  4. Step 4: Simplify right side
    150,646.41x = 18,084,691,694.62
  5. Step 5: Solve for x
    x = 18,084,691,694.62/150,646.41
  6. Step 6: Final answer
    x = 120,047.28

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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.