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Finding the Fourth Proportional to 205,914.70, 309,071.78 and 99,373.64

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Solution

The fourth proportional to 205,914.70, 309,071.78 and 99,373.64 is: 149,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,914.70 : 309,071.78 = 99,373.64 : x
  2. Step 2: Convert to fraction form
    205,914.70/309,071.78 = 99,373.64/x
  3. Step 3: Cross multiply
    205,914.70x = 309,071.78 × 99,373.64
  4. Step 4: Simplify right side
    205,914.70x = 30,713,586,502.95
  5. Step 5: Solve for x
    x = 30,713,586,502.95/205,914.70
  6. Step 6: Final answer
    x = 149,156.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.