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Finding the Fourth Proportional to 269,648, 372,114.24 and 150,416

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Solution

The fourth proportional to 269,648, 372,114.24 and 150,416 is: 207,574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,648 : 372,114.24 = 150,416 : x
  2. Step 2: Convert to fraction form
    269,648/372,114.24 = 150,416/x
  3. Step 3: Cross multiply
    269,648x = 372,114.24 × 150,416
  4. Step 4: Simplify right side
    269,648x = 55,971,935,523.84
  5. Step 5: Solve for x
    x = 55,971,935,523.84/269,648
  6. Step 6: Final answer
    x = 207,574.08

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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.