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Finding the Fourth Proportional to 230,293.47, 345,291.84 and 97,138.11

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Solution

The fourth proportional to 230,293.47, 345,291.84 and 97,138.11 is: 145,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,293.47 : 345,291.84 = 97,138.11 : x
  2. Step 2: Convert to fraction form
    230,293.47/345,291.84 = 97,138.11/x
  3. Step 3: Cross multiply
    230,293.47x = 345,291.84 × 97,138.11
  4. Step 4: Simplify right side
    230,293.47x = 33,540,996,736.02
  5. Step 5: Solve for x
    x = 33,540,996,736.02/230,293.47
  6. Step 6: Final answer
    x = 145,644.58

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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.