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Finding the Fourth Proportional to 230,522, 345,919.12 and 97,393.68

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Solution

The fourth proportional to 230,522, 345,919.12 and 97,393.68 is: 146,148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,522 : 345,919.12 = 97,393.68 : x
  2. Step 2: Convert to fraction form
    230,522/345,919.12 = 97,393.68/x
  3. Step 3: Cross multiply
    230,522x = 345,919.12 × 97,393.68
  4. Step 4: Simplify right side
    230,522x = 33,690,336,079.16
  5. Step 5: Solve for x
    x = 33,690,336,079.16/230,522
  6. Step 6: Final answer
    x = 146,148.03

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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.