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Finding the Fourth Proportional to 114,763.20, 172,138.12 and 51,567

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Solution

The fourth proportional to 114,763.20, 172,138.12 and 51,567 is: 77,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,763.20 : 172,138.12 = 51,567 : x
  2. Step 2: Convert to fraction form
    114,763.20/172,138.12 = 51,567/x
  3. Step 3: Cross multiply
    114,763.20x = 172,138.12 × 51,567
  4. Step 4: Simplify right side
    114,763.20x = 8,876,646,434.04
  5. Step 5: Solve for x
    x = 8,876,646,434.04/114,763.20
  6. Step 6: Final answer
    x = 77,347.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.