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Finding the Fourth Proportional to 114,155.57, 157,465.80 and 75,393.62

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Solution

The fourth proportional to 114,155.57, 157,465.80 and 75,393.62 is: 103,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,155.57 : 157,465.80 = 75,393.62 : x
  2. Step 2: Convert to fraction form
    114,155.57/157,465.80 = 75,393.62/x
  3. Step 3: Cross multiply
    114,155.57x = 157,465.80 × 75,393.62
  4. Step 4: Simplify right side
    114,155.57x = 11,871,917,081.86
  5. Step 5: Solve for x
    x = 11,871,917,081.86/114,155.57
  6. Step 6: Final answer
    x = 103,997.71

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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.