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Finding the Fourth Proportional to 250,378.08, 345,530.16 and 137,199.84

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Solution

The fourth proportional to 250,378.08, 345,530.16 and 137,199.84 is: 189,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,378.08 : 345,530.16 = 137,199.84 : x
  2. Step 2: Convert to fraction form
    250,378.08/345,530.16 = 137,199.84/x
  3. Step 3: Cross multiply
    250,378.08x = 345,530.16 × 137,199.84
  4. Step 4: Simplify right side
    250,378.08x = 47,406,682,667.17
  5. Step 5: Solve for x
    x = 47,406,682,667.17/250,378.08
  6. Step 6: Final answer
    x = 189,340.39

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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.