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Finding the Fourth Proportional to 119,125.56, 164,393.43 and 65,414.04

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Solution

The fourth proportional to 119,125.56, 164,393.43 and 65,414.04 is: 90,271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,125.56 : 164,393.43 = 65,414.04 : x
  2. Step 2: Convert to fraction form
    119,125.56/164,393.43 = 65,414.04/x
  3. Step 3: Cross multiply
    119,125.56x = 164,393.43 × 65,414.04
  4. Step 4: Simplify right side
    119,125.56x = 10,753,638,405.76
  5. Step 5: Solve for x
    x = 10,753,638,405.76/119,125.56
  6. Step 6: Final answer
    x = 90,271.46

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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.