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Finding the Fourth Proportional to 257,041.14, 385,552.09 and 67,499.79

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Solution

The fourth proportional to 257,041.14, 385,552.09 and 67,499.79 is: 101,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,041.14 : 385,552.09 = 67,499.79 : x
  2. Step 2: Convert to fraction form
    257,041.14/385,552.09 = 67,499.79/x
  3. Step 3: Cross multiply
    257,041.14x = 385,552.09 × 67,499.79
  4. Step 4: Simplify right side
    257,041.14x = 26,024,685,109.06
  5. Step 5: Solve for x
    x = 26,024,685,109.06/257,041.14
  6. Step 6: Final answer
    x = 101,247.16

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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.