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Finding the Fourth Proportional to 225,886.05, 338,932.53 and 97,841.49

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Solution

The fourth proportional to 225,886.05, 338,932.53 and 97,841.49 is: 146,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,886.05 : 338,932.53 = 97,841.49 : x
  2. Step 2: Convert to fraction form
    225,886.05/338,932.53 = 97,841.49/x
  3. Step 3: Cross multiply
    225,886.05x = 338,932.53 × 97,841.49
  4. Step 4: Simplify right side
    225,886.05x = 33,161,663,744.67
  5. Step 5: Solve for x
    x = 33,161,663,744.67/225,886.05
  6. Step 6: Final answer
    x = 146,807.05

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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.