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Finding the Fourth Proportional to 270,188.84, 405,199.02 and 101,732.60

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Solution

The fourth proportional to 270,188.84, 405,199.02 and 101,732.60 is: 152,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,188.84 : 405,199.02 = 101,732.60 : x
  2. Step 2: Convert to fraction form
    270,188.84/405,199.02 = 101,732.60/x
  3. Step 3: Cross multiply
    270,188.84x = 405,199.02 × 101,732.60
  4. Step 4: Simplify right side
    270,188.84x = 41,221,949,822.05
  5. Step 5: Solve for x
    x = 41,221,949,822.05/270,188.84
  6. Step 6: Final answer
    x = 152,567.18

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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.