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Finding the Fourth Proportional to 245,196.80, 367,795.20 and 97,452.80

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Solution

The fourth proportional to 245,196.80, 367,795.20 and 97,452.80 is: 146,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,196.80 : 367,795.20 = 97,452.80 : x
  2. Step 2: Convert to fraction form
    245,196.80/367,795.20 = 97,452.80/x
  3. Step 3: Cross multiply
    245,196.80x = 367,795.20 × 97,452.80
  4. Step 4: Simplify right side
    245,196.80x = 35,842,672,066.56
  5. Step 5: Solve for x
    x = 35,842,672,066.56/245,196.80
  6. Step 6: Final answer
    x = 146,179.20

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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.