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Finding the Fourth Proportional to 201,098.41, 277,518.09 and 110,456.50

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Solution

The fourth proportional to 201,098.41, 277,518.09 and 110,456.50 is: 152,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,098.41 : 277,518.09 = 110,456.50 : x
  2. Step 2: Convert to fraction form
    201,098.41/277,518.09 = 110,456.50/x
  3. Step 3: Cross multiply
    201,098.41x = 277,518.09 × 110,456.50
  4. Step 4: Simplify right side
    201,098.41x = 30,653,676,908.09
  5. Step 5: Solve for x
    x = 30,653,676,908.09/201,098.41
  6. Step 6: Final answer
    x = 152,431.22

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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.