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Finding the Fourth Proportional to 201,004.90, 277,387.30 and 110,366.74

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Solution

The fourth proportional to 201,004.90, 277,387.30 and 110,366.74 is: 152,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,004.90 : 277,387.30 = 110,366.74 : x
  2. Step 2: Convert to fraction form
    201,004.90/277,387.30 = 110,366.74/x
  3. Step 3: Cross multiply
    201,004.90x = 277,387.30 × 110,366.74
  4. Step 4: Simplify right side
    201,004.90x = 30,614,331,049.02
  5. Step 5: Solve for x
    x = 30,614,331,049.02/201,004.90
  6. Step 6: Final answer
    x = 152,306.39

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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.