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Finding the Fourth Proportional to 197,675.60, 296,513.40 and 97,797.20

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Solution

The fourth proportional to 197,675.60, 296,513.40 and 97,797.20 is: 146,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,675.60 : 296,513.40 = 97,797.20 : x
  2. Step 2: Convert to fraction form
    197,675.60/296,513.40 = 97,797.20/x
  3. Step 3: Cross multiply
    197,675.60x = 296,513.40 × 97,797.20
  4. Step 4: Simplify right side
    197,675.60x = 28,998,180,282.48
  5. Step 5: Solve for x
    x = 28,998,180,282.48/197,675.60
  6. Step 6: Final answer
    x = 146,695.80

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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.