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Finding the Fourth Proportional to 230,976.30, 346,314.60 and 97,820.40

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Solution

The fourth proportional to 230,976.30, 346,314.60 and 97,820.40 is: 146,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,976.30 : 346,314.60 = 97,820.40 : x
  2. Step 2: Convert to fraction form
    230,976.30/346,314.60 = 97,820.40/x
  3. Step 3: Cross multiply
    230,976.30x = 346,314.60 × 97,820.40
  4. Step 4: Simplify right side
    230,976.30x = 33,876,632,697.84
  5. Step 5: Solve for x
    x = 33,876,632,697.84/230,976.30
  6. Step 6: Final answer
    x = 146,667.14

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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.