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Finding the Fourth Proportional to 225,774.34, 338,864.55 and 120,683.14

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Solution

The fourth proportional to 225,774.34, 338,864.55 and 120,683.14 is: 181,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,774.34 : 338,864.55 = 120,683.14 : x
  2. Step 2: Convert to fraction form
    225,774.34/338,864.55 = 120,683.14/x
  3. Step 3: Cross multiply
    225,774.34x = 338,864.55 × 120,683.14
  4. Step 4: Simplify right side
    225,774.34x = 40,895,237,928.69
  5. Step 5: Solve for x
    x = 40,895,237,928.69/225,774.34
  6. Step 6: Final answer
    x = 181,133.24

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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.