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Finding the Fourth Proportional to 114,155.48, 157,523.80 and 77,286.68

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Solution

The fourth proportional to 114,155.48, 157,523.80 and 77,286.68 is: 106,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,155.48 : 157,523.80 = 77,286.68 : x
  2. Step 2: Convert to fraction form
    114,155.48/157,523.80 = 77,286.68/x
  3. Step 3: Cross multiply
    114,155.48x = 157,523.80 × 77,286.68
  4. Step 4: Simplify right side
    114,155.48x = 12,174,491,522.98
  5. Step 5: Solve for x
    x = 12,174,491,522.98/114,155.48
  6. Step 6: Final answer
    x = 106,648.33

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1.5x scale

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.