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Finding the Fourth Proportional to 144,341.68, 216,507.64 and 50,845

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Solution

The fourth proportional to 144,341.68, 216,507.64 and 50,845 is: 76,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,341.68 : 216,507.64 = 50,845 : x
  2. Step 2: Convert to fraction form
    144,341.68/216,507.64 = 50,845/x
  3. Step 3: Cross multiply
    144,341.68x = 216,507.64 × 50,845
  4. Step 4: Simplify right side
    144,341.68x = 11,008,330,955.80
  5. Step 5: Solve for x
    x = 11,008,330,955.80/144,341.68
  6. Step 6: Final answer
    x = 76,265.78

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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.