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Finding the Fourth Proportional to 270,184.84, 405,215.29 and 101,722.66

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Solution

The fourth proportional to 270,184.84, 405,215.29 and 101,722.66 is: 152,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,184.84 : 405,215.29 = 101,722.66 : x
  2. Step 2: Convert to fraction form
    270,184.84/405,215.29 = 101,722.66/x
  3. Step 3: Cross multiply
    270,184.84x = 405,215.29 × 101,722.66
  4. Step 4: Simplify right side
    270,184.84x = 41,219,577,171.47
  5. Step 5: Solve for x
    x = 41,219,577,171.47/270,184.84
  6. Step 6: Final answer
    x = 152,560.66

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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.