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Finding the Fourth Proportional to 119,308.11, 164,643.70 and 65,592.65

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Solution

The fourth proportional to 119,308.11, 164,643.70 and 65,592.65 is: 90,517.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,308.11 : 164,643.70 = 65,592.65 : x
  2. Step 2: Convert to fraction form
    119,308.11/164,643.70 = 65,592.65/x
  3. Step 3: Cross multiply
    119,308.11x = 164,643.70 × 65,592.65
  4. Step 4: Simplify right side
    119,308.11x = 10,799,416,588.81
  5. Step 5: Solve for x
    x = 10,799,416,588.81/119,308.11
  6. Step 6: Final answer
    x = 90,517.04

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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.