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Finding the Fourth Proportional to 153,657, 212,049 and 86,589

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Solution

The fourth proportional to 153,657, 212,049 and 86,589 is: 119,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,657 : 212,049 = 86,589 : x
  2. Step 2: Convert to fraction form
    153,657/212,049 = 86,589/x
  3. Step 3: Cross multiply
    153,657x = 212,049 × 86,589
  4. Step 4: Simplify right side
    153,657x = 18,361,110,861
  5. Step 5: Solve for x
    x = 18,361,110,861/153,657
  6. Step 6: Final answer
    x = 119,494.14

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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.