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Finding the Fourth Proportional to 119,156.24, 164,436.75 and 65,442.38

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Solution

The fourth proportional to 119,156.24, 164,436.75 and 65,442.38 is: 90,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,156.24 : 164,436.75 = 65,442.38 : x
  2. Step 2: Convert to fraction form
    119,156.24/164,436.75 = 65,442.38/x
  3. Step 3: Cross multiply
    119,156.24x = 164,436.75 × 65,442.38
  4. Step 4: Simplify right side
    119,156.24x = 10,761,131,457.28
  5. Step 5: Solve for x
    x = 10,761,131,457.28/119,156.24
  6. Step 6: Final answer
    x = 90,311.10

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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.