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Finding the Fourth Proportional to 114,354.32, 157,863.72 and 76,177.40

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Solution

The fourth proportional to 114,354.32, 157,863.72 and 76,177.40 is: 105,161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,354.32 : 157,863.72 = 76,177.40 : x
  2. Step 2: Convert to fraction form
    114,354.32/157,863.72 = 76,177.40/x
  3. Step 3: Cross multiply
    114,354.32x = 157,863.72 × 76,177.40
  4. Step 4: Simplify right side
    114,354.32x = 12,025,647,743.93
  5. Step 5: Solve for x
    x = 12,025,647,743.93/114,354.32
  6. Step 6: Final answer
    x = 105,161.29

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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.