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Finding the Fourth Proportional to 125,964, 173,830.32 and 69,375.24

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Solution

The fourth proportional to 125,964, 173,830.32 and 69,375.24 is: 95,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,964 : 173,830.32 = 69,375.24 : x
  2. Step 2: Convert to fraction form
    125,964/173,830.32 = 69,375.24/x
  3. Step 3: Cross multiply
    125,964x = 173,830.32 × 69,375.24
  4. Step 4: Simplify right side
    125,964x = 12,059,520,169.28
  5. Step 5: Solve for x
    x = 12,059,520,169.28/125,964
  6. Step 6: Final answer
    x = 95,737.83

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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.