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Finding the Fourth Proportional to 209,908.94, 289,671.39 and 114,416.01

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Solution

The fourth proportional to 209,908.94, 289,671.39 and 114,416.01 is: 157,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,908.94 : 289,671.39 = 114,416.01 : x
  2. Step 2: Convert to fraction form
    209,908.94/289,671.39 = 114,416.01/x
  3. Step 3: Cross multiply
    209,908.94x = 289,671.39 × 114,416.01
  4. Step 4: Simplify right side
    209,908.94x = 33,143,044,654.95
  5. Step 5: Solve for x
    x = 33,143,044,654.95/209,908.94
  6. Step 6: Final answer
    x = 157,892.49

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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.