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Finding the Fourth Proportional to 191,378.92, 287,097.54 and 97,853.08

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Solution

The fourth proportional to 191,378.92, 287,097.54 and 97,853.08 is: 146,794.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,378.92 : 287,097.54 = 97,853.08 : x
  2. Step 2: Convert to fraction form
    191,378.92/287,097.54 = 97,853.08/x
  3. Step 3: Cross multiply
    191,378.92x = 287,097.54 × 97,853.08
  4. Step 4: Simplify right side
    191,378.92x = 28,093,378,549.42
  5. Step 5: Solve for x
    x = 28,093,378,549.42/191,378.92
  6. Step 6: Final answer
    x = 146,794.53

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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.