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Finding the Fourth Proportional to 230,295, 345,294.06 and 97,139.64

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Solution

The fourth proportional to 230,295, 345,294.06 and 97,139.64 is: 145,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,295 : 345,294.06 = 97,139.64 : x
  2. Step 2: Convert to fraction form
    230,295/345,294.06 = 97,139.64/x
  3. Step 3: Cross multiply
    230,295x = 345,294.06 × 97,139.64
  4. Step 4: Simplify right side
    230,295x = 33,541,740,682.54
  5. Step 5: Solve for x
    x = 33,541,740,682.54/230,295
  6. Step 6: Final answer
    x = 145,646.85

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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.