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Finding the Fourth Proportional to 114,014.16, 157,338.38 and 63,713.16

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Solution

The fourth proportional to 114,014.16, 157,338.38 and 63,713.16 is: 87,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,014.16 : 157,338.38 = 63,713.16 : x
  2. Step 2: Convert to fraction form
    114,014.16/157,338.38 = 63,713.16/x
  3. Step 3: Cross multiply
    114,014.16x = 157,338.38 × 63,713.16
  4. Step 4: Simplify right side
    114,014.16x = 10,024,525,379.08
  5. Step 5: Solve for x
    x = 10,024,525,379.08/114,014.16
  6. Step 6: Final answer
    x = 87,923.51

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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.