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Finding the Fourth Proportional to 117,446.29, 162,008.09 and 74,956.93

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Solution

The fourth proportional to 117,446.29, 162,008.09 and 74,956.93 is: 103,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,446.29 : 162,008.09 = 74,956.93 : x
  2. Step 2: Convert to fraction form
    117,446.29/162,008.09 = 74,956.93/x
  3. Step 3: Cross multiply
    117,446.29x = 162,008.09 × 74,956.93
  4. Step 4: Simplify right side
    117,446.29x = 12,143,629,061.56
  5. Step 5: Solve for x
    x = 12,143,629,061.56/117,446.29
  6. Step 6: Final answer
    x = 103,397.30

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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.