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Finding the Fourth Proportional to 119,232.58, 164,537.66 and 65,517.58

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Solution

The fourth proportional to 119,232.58, 164,537.66 and 65,517.58 is: 90,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,232.58 : 164,537.66 = 65,517.58 : x
  2. Step 2: Convert to fraction form
    119,232.58/164,537.66 = 65,517.58/x
  3. Step 3: Cross multiply
    119,232.58x = 164,537.66 × 65,517.58
  4. Step 4: Simplify right side
    119,232.58x = 10,780,109,302.06
  5. Step 5: Solve for x
    x = 10,780,109,302.06/119,232.58
  6. Step 6: Final answer
    x = 90,412.45

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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.