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Finding the Fourth Proportional to 201,064.48, 277,468.25 and 110,426.31

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Solution

The fourth proportional to 201,064.48, 277,468.25 and 110,426.31 is: 152,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,064.48 : 277,468.25 = 110,426.31 : x
  2. Step 2: Convert to fraction form
    201,064.48/277,468.25 = 110,426.31/x
  3. Step 3: Cross multiply
    201,064.48x = 277,468.25 × 110,426.31
  4. Step 4: Simplify right side
    201,064.48x = 30,639,794,989.66
  5. Step 5: Solve for x
    x = 30,639,794,989.66/201,064.48
  6. Step 6: Final answer
    x = 152,387.91

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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.