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Finding the Fourth Proportional to 207,165.87, 285,887.34 and 117,741.87

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Solution

The fourth proportional to 207,165.87, 285,887.34 and 117,741.87 is: 162,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,165.87 : 285,887.34 = 117,741.87 : x
  2. Step 2: Convert to fraction form
    207,165.87/285,887.34 = 117,741.87/x
  3. Step 3: Cross multiply
    207,165.87x = 285,887.34 × 117,741.87
  4. Step 4: Simplify right side
    207,165.87x = 33,660,910,020.93
  5. Step 5: Solve for x
    x = 33,660,910,020.93/207,165.87
  6. Step 6: Final answer
    x = 162,482.89

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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.