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Finding the Fourth Proportional to 152,074.95, 209,845.11 and 84,082.74

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Solution

The fourth proportional to 152,074.95, 209,845.11 and 84,082.74 is: 116,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,074.95 : 209,845.11 = 84,082.74 : x
  2. Step 2: Convert to fraction form
    152,074.95/209,845.11 = 84,082.74/x
  3. Step 3: Cross multiply
    152,074.95x = 209,845.11 × 84,082.74
  4. Step 4: Simplify right side
    152,074.95x = 17,644,351,824.40
  5. Step 5: Solve for x
    x = 17,644,351,824.40/152,074.95
  6. Step 6: Final answer
    x = 116,024.05

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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.