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Finding the Fourth Proportional to 144,614.32, 216,900.96 and 55,909.60

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Solution

The fourth proportional to 144,614.32, 216,900.96 and 55,909.60 is: 83,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,614.32 : 216,900.96 = 55,909.60 : x
  2. Step 2: Convert to fraction form
    144,614.32/216,900.96 = 55,909.60/x
  3. Step 3: Cross multiply
    144,614.32x = 216,900.96 × 55,909.60
  4. Step 4: Simplify right side
    144,614.32x = 12,126,845,913.22
  5. Step 5: Solve for x
    x = 12,126,845,913.22/144,614.32
  6. Step 6: Final answer
    x = 83,856.47

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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.