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Finding the Fourth Proportional to 231,123.40, 346,512.30 and 97,894.60

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Solution

The fourth proportional to 231,123.40, 346,512.30 and 97,894.60 is: 146,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,123.40 : 346,512.30 = 97,894.60 : x
  2. Step 2: Convert to fraction form
    231,123.40/346,512.30 = 97,894.60/x
  3. Step 3: Cross multiply
    231,123.40x = 346,512.30 × 97,894.60
  4. Step 4: Simplify right side
    231,123.40x = 33,921,683,003.58
  5. Step 5: Solve for x
    x = 33,921,683,003.58/231,123.40
  6. Step 6: Final answer
    x = 146,768.71

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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.