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Finding the Fourth Proportional to 134,868, 186,117.84 and 75,252

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Solution

The fourth proportional to 134,868, 186,117.84 and 75,252 is: 103,847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,868 : 186,117.84 = 75,252 : x
  2. Step 2: Convert to fraction form
    134,868/186,117.84 = 75,252/x
  3. Step 3: Cross multiply
    134,868x = 186,117.84 × 75,252
  4. Step 4: Simplify right side
    134,868x = 14,005,739,695.68
  5. Step 5: Solve for x
    x = 14,005,739,695.68/134,868
  6. Step 6: Final answer
    x = 103,847.76

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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.