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Finding the Fourth Proportional to 114,408, 157,891.68 and 64,110.24

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Solution

The fourth proportional to 114,408, 157,891.68 and 64,110.24 is: 88,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,408 : 157,891.68 = 64,110.24 : x
  2. Step 2: Convert to fraction form
    114,408/157,891.68 = 64,110.24/x
  3. Step 3: Cross multiply
    114,408x = 157,891.68 × 64,110.24
  4. Step 4: Simplify right side
    114,408x = 10,122,473,498.80
  5. Step 5: Solve for x
    x = 10,122,473,498.80/114,408
  6. Step 6: Final answer
    x = 88,476.97

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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.