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Finding the Fourth Proportional to 144,659.70, 216,892.35 and 65,733.30

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Solution

The fourth proportional to 144,659.70, 216,892.35 and 65,733.30 is: 98,555.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,659.70 : 216,892.35 = 65,733.30 : x
  2. Step 2: Convert to fraction form
    144,659.70/216,892.35 = 65,733.30/x
  3. Step 3: Cross multiply
    144,659.70x = 216,892.35 × 65,733.30
  4. Step 4: Simplify right side
    144,659.70x = 14,257,049,910.26
  5. Step 5: Solve for x
    x = 14,257,049,910.26/144,659.70
  6. Step 6: Final answer
    x = 98,555.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.