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Finding the Fourth Proportional to 119,463.32, 164,870.44 and 65,759.24

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Solution

The fourth proportional to 119,463.32, 164,870.44 and 65,759.24 is: 90,753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,463.32 : 164,870.44 = 65,759.24 : x
  2. Step 2: Convert to fraction form
    119,463.32/164,870.44 = 65,759.24/x
  3. Step 3: Cross multiply
    119,463.32x = 164,870.44 × 65,759.24
  4. Step 4: Simplify right side
    119,463.32x = 10,841,754,832.87
  5. Step 5: Solve for x
    x = 10,841,754,832.87/119,463.32
  6. Step 6: Final answer
    x = 90,753.84

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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.