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Finding the Fourth Proportional to 230,298.35, 345,641.62 and 97,274.08

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Solution

The fourth proportional to 230,298.35, 345,641.62 and 97,274.08 is: 145,993.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,298.35 : 345,641.62 = 97,274.08 : x
  2. Step 2: Convert to fraction form
    230,298.35/345,641.62 = 97,274.08/x
  3. Step 3: Cross multiply
    230,298.35x = 345,641.62 × 97,274.08
  4. Step 4: Simplify right side
    230,298.35x = 33,621,969,487.92
  5. Step 5: Solve for x
    x = 33,621,969,487.92/230,298.35
  6. Step 6: Final answer
    x = 145,993.10

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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.