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Finding the Fourth Proportional to 196,594.74, 271,120.71 and 145,734.16

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Solution

The fourth proportional to 196,594.74, 271,120.71 and 145,734.16 is: 200,979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,594.74 : 271,120.71 = 145,734.16 : x
  2. Step 2: Convert to fraction form
    196,594.74/271,120.71 = 145,734.16/x
  3. Step 3: Cross multiply
    196,594.74x = 271,120.71 × 145,734.16
  4. Step 4: Simplify right side
    196,594.74x = 39,511,549,061.75
  5. Step 5: Solve for x
    x = 39,511,549,061.75/196,594.74
  6. Step 6: Final answer
    x = 200,979.69

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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.