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Finding the Fourth Proportional to 200,833.21, 277,159.89 and 114,796.63

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Solution

The fourth proportional to 200,833.21, 277,159.89 and 114,796.63 is: 158,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,833.21 : 277,159.89 = 114,796.63 : x
  2. Step 2: Convert to fraction form
    200,833.21/277,159.89 = 114,796.63/x
  3. Step 3: Cross multiply
    200,833.21x = 277,159.89 × 114,796.63
  4. Step 4: Simplify right side
    200,833.21x = 31,817,021,343.17
  5. Step 5: Solve for x
    x = 31,817,021,343.17/200,833.21
  6. Step 6: Final answer
    x = 158,425.10

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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.