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Finding the Fourth Proportional to 309,301.88, 463,821.51 and 109,672.52

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Solution

The fourth proportional to 309,301.88, 463,821.51 and 109,672.52 is: 164,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,301.88 : 463,821.51 = 109,672.52 : x
  2. Step 2: Convert to fraction form
    309,301.88/463,821.51 = 109,672.52/x
  3. Step 3: Cross multiply
    309,301.88x = 463,821.51 × 109,672.52
  4. Step 4: Simplify right side
    309,301.88x = 50,868,473,831.91
  5. Step 5: Solve for x
    x = 50,868,473,831.91/309,301.88
  6. Step 6: Final answer
    x = 164,462.22

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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.