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Finding the Fourth Proportional to 114,145.49, 157,559.65 and 66,438.92

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Solution

The fourth proportional to 114,145.49, 157,559.65 and 66,438.92 is: 91,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,145.49 : 157,559.65 = 66,438.92 : x
  2. Step 2: Convert to fraction form
    114,145.49/157,559.65 = 66,438.92/x
  3. Step 3: Cross multiply
    114,145.49x = 157,559.65 × 66,438.92
  4. Step 4: Simplify right side
    114,145.49x = 10,468,093,209.38
  5. Step 5: Solve for x
    x = 10,468,093,209.38/114,145.49
  6. Step 6: Final answer
    x = 91,708.34

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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.