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Finding the Fourth Proportional to 200,995.74, 277,378.48 and 114,962.66

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Solution

The fourth proportional to 200,995.74, 277,378.48 and 114,962.66 is: 158,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,995.74 : 277,378.48 = 114,962.66 : x
  2. Step 2: Convert to fraction form
    200,995.74/277,378.48 = 114,962.66/x
  3. Step 3: Cross multiply
    200,995.74x = 277,378.48 × 114,962.66
  4. Step 4: Simplify right side
    200,995.74x = 31,888,167,887.56
  5. Step 5: Solve for x
    x = 31,888,167,887.56/200,995.74
  6. Step 6: Final answer
    x = 158,650.96

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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.