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Finding the Fourth Proportional to 191,114.91, 286,751.34 and 96,294.42

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Solution

The fourth proportional to 191,114.91, 286,751.34 and 96,294.42 is: 144,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,114.91 : 286,751.34 = 96,294.42 : x
  2. Step 2: Convert to fraction form
    191,114.91/286,751.34 = 96,294.42/x
  3. Step 3: Cross multiply
    191,114.91x = 286,751.34 × 96,294.42
  4. Step 4: Simplify right side
    191,114.91x = 27,612,553,969.52
  5. Step 5: Solve for x
    x = 27,612,553,969.52/191,114.91
  6. Step 6: Final answer
    x = 144,481.42

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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.