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Finding the Fourth Proportional to 200,904.98, 277,248.04 and 110,262.43

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Solution

The fourth proportional to 200,904.98, 277,248.04 and 110,262.43 is: 152,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,904.98 : 277,248.04 = 110,262.43 : x
  2. Step 2: Convert to fraction form
    200,904.98/277,248.04 = 110,262.43/x
  3. Step 3: Cross multiply
    200,904.98x = 277,248.04 × 110,262.43
  4. Step 4: Simplify right side
    200,904.98x = 30,570,041,634.36
  5. Step 5: Solve for x
    x = 30,570,041,634.36/200,904.98
  6. Step 6: Final answer
    x = 152,161.69

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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.