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Finding the Fourth Proportional to 270,987.94, 406,502.94 and 81,433.51

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Solution

The fourth proportional to 270,987.94, 406,502.94 and 81,433.51 is: 122,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,987.94 : 406,502.94 = 81,433.51 : x
  2. Step 2: Convert to fraction form
    270,987.94/406,502.94 = 81,433.51/x
  3. Step 3: Cross multiply
    270,987.94x = 406,502.94 × 81,433.51
  4. Step 4: Simplify right side
    270,987.94x = 33,102,961,229.52
  5. Step 5: Solve for x
    x = 33,102,961,229.52/270,987.94
  6. Step 6: Final answer
    x = 122,156.58

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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.