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Finding the Fourth Proportional to 201,098.80, 277,518.61 and 110,456.87

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Solution

The fourth proportional to 201,098.80, 277,518.61 and 110,456.87 is: 152,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,098.80 : 277,518.61 = 110,456.87 : x
  2. Step 2: Convert to fraction form
    201,098.80/277,518.61 = 110,456.87/x
  3. Step 3: Cross multiply
    201,098.80x = 277,518.61 × 110,456.87
  4. Step 4: Simplify right side
    201,098.80x = 30,653,835,156.51
  5. Step 5: Solve for x
    x = 30,653,835,156.51/201,098.80
  6. Step 6: Final answer
    x = 152,431.71

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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.