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Finding the Fourth Proportional to 151,244.83, 208,710.37 and 83,267.76

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Solution

The fourth proportional to 151,244.83, 208,710.37 and 83,267.76 is: 114,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,244.83 : 208,710.37 = 83,267.76 : x
  2. Step 2: Convert to fraction form
    151,244.83/208,710.37 = 83,267.76/x
  3. Step 3: Cross multiply
    151,244.83x = 208,710.37 × 83,267.76
  4. Step 4: Simplify right side
    151,244.83x = 17,378,845,102.76
  5. Step 5: Solve for x
    x = 17,378,845,102.76/151,244.83
  6. Step 6: Final answer
    x = 114,905.38

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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.