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Finding the Fourth Proportional to 144,446.94, 199,253.25 and 87,047.10

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Solution

The fourth proportional to 144,446.94, 199,253.25 and 87,047.10 is: 120,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,446.94 : 199,253.25 = 87,047.10 : x
  2. Step 2: Convert to fraction form
    144,446.94/199,253.25 = 87,047.10/x
  3. Step 3: Cross multiply
    144,446.94x = 199,253.25 × 87,047.10
  4. Step 4: Simplify right side
    144,446.94x = 17,344,417,578.08
  5. Step 5: Solve for x
    x = 17,344,417,578.08/144,446.94
  6. Step 6: Final answer
    x = 120,074.66

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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.