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Finding the Fourth Proportional to 200,980.58, 277,356.45 and 110,344.90

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Solution

The fourth proportional to 200,980.58, 277,356.45 and 110,344.90 is: 152,277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,980.58 : 277,356.45 = 110,344.90 : x
  2. Step 2: Convert to fraction form
    200,980.58/277,356.45 = 110,344.90/x
  3. Step 3: Cross multiply
    200,980.58x = 277,356.45 × 110,344.90
  4. Step 4: Simplify right side
    200,980.58x = 30,604,869,739.61
  5. Step 5: Solve for x
    x = 30,604,869,739.61/200,980.58
  6. Step 6: Final answer
    x = 152,277.75

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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.