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Finding the Fourth Proportional to 230,906.40, 346,408.20 and 97,718.10

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Solution

The fourth proportional to 230,906.40, 346,408.20 and 97,718.10 is: 146,597.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,906.40 : 346,408.20 = 97,718.10 : x
  2. Step 2: Convert to fraction form
    230,906.40/346,408.20 = 97,718.10/x
  3. Step 3: Cross multiply
    230,906.40x = 346,408.20 × 97,718.10
  4. Step 4: Simplify right side
    230,906.40x = 33,850,351,128.42
  5. Step 5: Solve for x
    x = 33,850,351,128.42/230,906.40
  6. Step 6: Final answer
    x = 146,597.72

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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.