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Finding the Fourth Proportional to 225,612.84, 338,420.04 and 57,133.11

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Solution

The fourth proportional to 225,612.84, 338,420.04 and 57,133.11 is: 85,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,612.84 : 338,420.04 = 57,133.11 : x
  2. Step 2: Convert to fraction form
    225,612.84/338,420.04 = 57,133.11/x
  3. Step 3: Cross multiply
    225,612.84x = 338,420.04 × 57,133.11
  4. Step 4: Simplify right side
    225,612.84x = 19,334,989,371.52
  5. Step 5: Solve for x
    x = 19,334,989,371.52/225,612.84
  6. Step 6: Final answer
    x = 85,699.86

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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.