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Finding the Fourth Proportional to 114,306.50, 157,738.10 and 63,319.02

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Solution

The fourth proportional to 114,306.50, 157,738.10 and 63,319.02 is: 87,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,306.50 : 157,738.10 = 63,319.02 : x
  2. Step 2: Convert to fraction form
    114,306.50/157,738.10 = 63,319.02/x
  3. Step 3: Cross multiply
    114,306.50x = 157,738.10 × 63,319.02
  4. Step 4: Simplify right side
    114,306.50x = 9,987,821,908.66
  5. Step 5: Solve for x
    x = 9,987,821,908.66/114,306.50
  6. Step 6: Final answer
    x = 87,377.55

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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.