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Finding the Fourth Proportional to 116,446.60, 160,575.78 and 86,314.60

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Solution

The fourth proportional to 116,446.60, 160,575.78 and 86,314.60 is: 119,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,446.60 : 160,575.78 = 86,314.60 : x
  2. Step 2: Convert to fraction form
    116,446.60/160,575.78 = 86,314.60/x
  3. Step 3: Cross multiply
    116,446.60x = 160,575.78 × 86,314.60
  4. Step 4: Simplify right side
    116,446.60x = 13,860,034,220.39
  5. Step 5: Solve for x
    x = 13,860,034,220.39/116,446.60
  6. Step 6: Final answer
    x = 119,024.81

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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.