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Finding the Fourth Proportional to 197,298.90, 296,069.85 and 85,032.90

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Solution

The fourth proportional to 197,298.90, 296,069.85 and 85,032.90 is: 127,601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,298.90 : 296,069.85 = 85,032.90 : x
  2. Step 2: Convert to fraction form
    197,298.90/296,069.85 = 85,032.90/x
  3. Step 3: Cross multiply
    197,298.90x = 296,069.85 × 85,032.90
  4. Step 4: Simplify right side
    197,298.90x = 25,175,677,948.07
  5. Step 5: Solve for x
    x = 25,175,677,948.07/197,298.90
  6. Step 6: Final answer
    x = 127,601.71

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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.