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Finding the Fourth Proportional to 230,294.14, 345,020.21 and 166,957.40

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Solution

The fourth proportional to 230,294.14, 345,020.21 and 166,957.40 is: 250,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,294.14 : 345,020.21 = 166,957.40 : x
  2. Step 2: Convert to fraction form
    230,294.14/345,020.21 = 166,957.40/x
  3. Step 3: Cross multiply
    230,294.14x = 345,020.21 × 166,957.40
  4. Step 4: Simplify right side
    230,294.14x = 57,603,677,862.91
  5. Step 5: Solve for x
    x = 57,603,677,862.91/230,294.14
  6. Step 6: Final answer
    x = 250,130.89

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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.