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Finding the Fourth Proportional to 134,644.14, 185,801.04 and 77,270.22

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Solution

The fourth proportional to 134,644.14, 185,801.04 and 77,270.22 is: 106,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,644.14 : 185,801.04 = 77,270.22 : x
  2. Step 2: Convert to fraction form
    134,644.14/185,801.04 = 77,270.22/x
  3. Step 3: Cross multiply
    134,644.14x = 185,801.04 × 77,270.22
  4. Step 4: Simplify right side
    134,644.14x = 14,356,887,237.03
  5. Step 5: Solve for x
    x = 14,356,887,237.03/134,644.14
  6. Step 6: Final answer
    x = 106,628.39

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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.