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Finding the Fourth Proportional to 151,067.07, 208,472.63 and 83,088.66

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Solution

The fourth proportional to 151,067.07, 208,472.63 and 83,088.66 is: 114,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,067.07 : 208,472.63 = 83,088.66 : x
  2. Step 2: Convert to fraction form
    151,067.07/208,472.63 = 83,088.66/x
  3. Step 3: Cross multiply
    151,067.07x = 208,472.63 × 83,088.66
  4. Step 4: Simplify right side
    151,067.07x = 17,321,710,431.01
  5. Step 5: Solve for x
    x = 17,321,710,431.01/151,067.07
  6. Step 6: Final answer
    x = 114,662.38

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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.