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Finding the Fourth Proportional to 199,516.68, 299,275.36 and 159,788.34

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Solution

The fourth proportional to 199,516.68, 299,275.36 and 159,788.34 is: 239,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,516.68 : 299,275.36 = 159,788.34 : x
  2. Step 2: Convert to fraction form
    199,516.68/299,275.36 = 159,788.34/x
  3. Step 3: Cross multiply
    199,516.68x = 299,275.36 × 159,788.34
  4. Step 4: Simplify right side
    199,516.68x = 47,820,712,577.83
  5. Step 5: Solve for x
    x = 47,820,712,577.83/199,516.68
  6. Step 6: Final answer
    x = 239,682.78

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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.