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Finding the Fourth Proportional to 225,246.92, 310,841.62 and 144,675.14

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Solution

The fourth proportional to 225,246.92, 310,841.62 and 144,675.14 is: 199,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,246.92 : 310,841.62 = 144,675.14 : x
  2. Step 2: Convert to fraction form
    225,246.92/310,841.62 = 144,675.14/x
  3. Step 3: Cross multiply
    225,246.92x = 310,841.62 × 144,675.14
  4. Step 4: Simplify right side
    225,246.92x = 44,971,052,975.43
  5. Step 5: Solve for x
    x = 44,971,052,975.43/225,246.92
  6. Step 6: Final answer
    x = 199,652.25

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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.