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Finding the Fourth Proportional to 125,964.86, 188,881.68 and 47,014.16

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Solution

The fourth proportional to 125,964.86, 188,881.68 and 47,014.16 is: 70,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,964.86 : 188,881.68 = 47,014.16 : x
  2. Step 2: Convert to fraction form
    125,964.86/188,881.68 = 47,014.16/x
  3. Step 3: Cross multiply
    125,964.86x = 188,881.68 × 47,014.16
  4. Step 4: Simplify right side
    125,964.86x = 8,880,113,524.59
  5. Step 5: Solve for x
    x = 8,880,113,524.59/125,964.86
  6. Step 6: Final answer
    x = 70,496.75

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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.