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Finding the Fourth Proportional to 114,082.74, 157,381.80 and 73,809.48

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Solution

The fourth proportional to 114,082.74, 157,381.80 and 73,809.48 is: 101,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,082.74 : 157,381.80 = 73,809.48 : x
  2. Step 2: Convert to fraction form
    114,082.74/157,381.80 = 73,809.48/x
  3. Step 3: Cross multiply
    114,082.74x = 157,381.80 × 73,809.48
  4. Step 4: Simplify right side
    114,082.74x = 11,616,268,819.46
  5. Step 5: Solve for x
    x = 11,616,268,819.46/114,082.74
  6. Step 6: Final answer
    x = 101,823.19

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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.