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Finding the Fourth Proportional to 151,468.88, 209,039.10 and 83,497.94

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Solution

The fourth proportional to 151,468.88, 209,039.10 and 83,497.94 is: 115,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,468.88 : 209,039.10 = 83,497.94 : x
  2. Step 2: Convert to fraction form
    151,468.88/209,039.10 = 83,497.94/x
  3. Step 3: Cross multiply
    151,468.88x = 209,039.10 × 83,497.94
  4. Step 4: Simplify right side
    151,468.88x = 17,454,334,229.45
  5. Step 5: Solve for x
    x = 17,454,334,229.45/151,468.88
  6. Step 6: Final answer
    x = 115,233.80

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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.