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Finding the Fourth Proportional to 144,274.59, 199,109.25 and 79,742.46

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Solution

The fourth proportional to 144,274.59, 199,109.25 and 79,742.46 is: 110,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,274.59 : 199,109.25 = 79,742.46 : x
  2. Step 2: Convert to fraction form
    144,274.59/199,109.25 = 79,742.46/x
  3. Step 3: Cross multiply
    144,274.59x = 199,109.25 × 79,742.46
  4. Step 4: Simplify right side
    144,274.59x = 15,877,461,403.76
  5. Step 5: Solve for x
    x = 15,877,461,403.76/144,274.59
  6. Step 6: Final answer
    x = 110,050.30

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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.