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Finding the Fourth Proportional to 189,091.40, 283,637.10 and 165,763.40

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Solution

The fourth proportional to 189,091.40, 283,637.10 and 165,763.40 is: 248,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,091.40 : 283,637.10 = 165,763.40 : x
  2. Step 2: Convert to fraction form
    189,091.40/283,637.10 = 165,763.40/x
  3. Step 3: Cross multiply
    189,091.40x = 283,637.10 × 165,763.40
  4. Step 4: Simplify right side
    189,091.40x = 47,016,650,062.14
  5. Step 5: Solve for x
    x = 47,016,650,062.14/189,091.40
  6. Step 6: Final answer
    x = 248,645.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.