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Finding the Fourth Proportional to 230,997.30, 346,346.10 and 97,841.40

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Solution

The fourth proportional to 230,997.30, 346,346.10 and 97,841.40 is: 146,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,997.30 : 346,346.10 = 97,841.40 : x
  2. Step 2: Convert to fraction form
    230,997.30/346,346.10 = 97,841.40/x
  3. Step 3: Cross multiply
    230,997.30x = 346,346.10 × 97,841.40
  4. Step 4: Simplify right side
    230,997.30x = 33,886,987,308.54
  5. Step 5: Solve for x
    x = 33,886,987,308.54/230,997.30
  6. Step 6: Final answer
    x = 146,698.63

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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.