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Finding the Fourth Proportional to 152,065.95, 209,832.69 and 84,073.74

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Solution

The fourth proportional to 152,065.95, 209,832.69 and 84,073.74 is: 116,011.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,065.95 : 209,832.69 = 84,073.74 : x
  2. Step 2: Convert to fraction form
    152,065.95/209,832.69 = 84,073.74/x
  3. Step 3: Cross multiply
    152,065.95x = 209,832.69 × 84,073.74
  4. Step 4: Simplify right side
    152,065.95x = 17,641,419,022.56
  5. Step 5: Solve for x
    x = 17,641,419,022.56/152,065.95
  6. Step 6: Final answer
    x = 116,011.63

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1.5x scale

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.