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Finding the Fourth Proportional to 230,751.40, 346,127.10 and 97,781.80

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Solution

The fourth proportional to 230,751.40, 346,127.10 and 97,781.80 is: 146,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,751.40 : 346,127.10 = 97,781.80 : x
  2. Step 2: Convert to fraction form
    230,751.40/346,127.10 = 97,781.80/x
  3. Step 3: Cross multiply
    230,751.40x = 346,127.10 × 97,781.80
  4. Step 4: Simplify right side
    230,751.40x = 33,844,930,866.78
  5. Step 5: Solve for x
    x = 33,844,930,866.78/230,751.40
  6. Step 6: Final answer
    x = 146,672.70

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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.