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Finding the Fourth Proportional to 119,357.64, 164,710.26 and 65,642.64

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Solution

The fourth proportional to 119,357.64, 164,710.26 and 65,642.64 is: 90,585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,357.64 : 164,710.26 = 65,642.64 : x
  2. Step 2: Convert to fraction form
    119,357.64/164,710.26 = 65,642.64/x
  3. Step 3: Cross multiply
    119,357.64x = 164,710.26 × 65,642.64
  4. Step 4: Simplify right side
    119,357.64x = 10,812,016,301.49
  5. Step 5: Solve for x
    x = 10,812,016,301.49/119,357.64
  6. Step 6: Final answer
    x = 90,585.04

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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.