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Finding the Fourth Proportional to 201,032.83, 277,412.88 and 110,388.43

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Solution

The fourth proportional to 201,032.83, 277,412.88 and 110,388.43 is: 152,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,032.83 : 277,412.88 = 110,388.43 : x
  2. Step 2: Convert to fraction form
    201,032.83/277,412.88 = 110,388.43/x
  3. Step 3: Cross multiply
    201,032.83x = 277,412.88 × 110,388.43
  4. Step 4: Simplify right side
    201,032.83x = 30,623,172,284.98
  5. Step 5: Solve for x
    x = 30,623,172,284.98/201,032.83
  6. Step 6: Final answer
    x = 152,329.21

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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.