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Finding the Fourth Proportional to 164,788.48, 227,409.60 and 89,337.16

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Solution

The fourth proportional to 164,788.48, 227,409.60 and 89,337.16 is: 123,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,788.48 : 227,409.60 = 89,337.16 : x
  2. Step 2: Convert to fraction form
    164,788.48/227,409.60 = 89,337.16/x
  3. Step 3: Cross multiply
    164,788.48x = 227,409.60 × 89,337.16
  4. Step 4: Simplify right side
    164,788.48x = 20,316,127,820.74
  5. Step 5: Solve for x
    x = 20,316,127,820.74/164,788.48
  6. Step 6: Final answer
    x = 123,286.09

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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.