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Finding the Fourth Proportional to 101,514.53, 152,302.94 and 45,401.84

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Solution

The fourth proportional to 101,514.53, 152,302.94 and 45,401.84 is: 68,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,514.53 : 152,302.94 = 45,401.84 : x
  2. Step 2: Convert to fraction form
    101,514.53/152,302.94 = 45,401.84/x
  3. Step 3: Cross multiply
    101,514.53x = 152,302.94 × 45,401.84
  4. Step 4: Simplify right side
    101,514.53x = 6,914,833,713.41
  5. Step 5: Solve for x
    x = 6,914,833,713.41/101,514.53
  6. Step 6: Final answer
    x = 68,116.69

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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.