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Finding the Fourth Proportional to 119,309.88, 164,648.75 and 65,595.29

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Solution

The fourth proportional to 119,309.88, 164,648.75 and 65,595.29 is: 90,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,309.88 : 164,648.75 = 65,595.29 : x
  2. Step 2: Convert to fraction form
    119,309.88/164,648.75 = 65,595.29/x
  3. Step 3: Cross multiply
    119,309.88x = 164,648.75 × 65,595.29
  4. Step 4: Simplify right side
    119,309.88x = 10,800,181,353.17
  5. Step 5: Solve for x
    x = 10,800,181,353.17/119,309.88
  6. Step 6: Final answer
    x = 90,522.10

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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.