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Finding the Fourth Proportional to 114,131.12, 157,500.84 and 63,830

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Solution

The fourth proportional to 114,131.12, 157,500.84 and 63,830 is: 88,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,131.12 : 157,500.84 = 63,830 : x
  2. Step 2: Convert to fraction form
    114,131.12/157,500.84 = 63,830/x
  3. Step 3: Cross multiply
    114,131.12x = 157,500.84 × 63,830
  4. Step 4: Simplify right side
    114,131.12x = 10,053,278,617.20
  5. Step 5: Solve for x
    x = 10,053,278,617.20/114,131.12
  6. Step 6: Final answer
    x = 88,085.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.