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Finding the Fourth Proportional to 270,035.84, 372,652.08 and 149,180

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Solution

The fourth proportional to 270,035.84, 372,652.08 and 149,180 is: 205,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,035.84 : 372,652.08 = 149,180 : x
  2. Step 2: Convert to fraction form
    270,035.84/372,652.08 = 149,180/x
  3. Step 3: Cross multiply
    270,035.84x = 372,652.08 × 149,180
  4. Step 4: Simplify right side
    270,035.84x = 55,592,237,294.40
  5. Step 5: Solve for x
    x = 55,592,237,294.40/270,035.84
  6. Step 6: Final answer
    x = 205,869.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.