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Finding the Fourth Proportional to 209,758.79, 314,356.89 and 114,846.02

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Solution

The fourth proportional to 209,758.79, 314,356.89 and 114,846.02 is: 172,115.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,758.79 : 314,356.89 = 114,846.02 : x
  2. Step 2: Convert to fraction form
    209,758.79/314,356.89 = 114,846.02/x
  3. Step 3: Cross multiply
    209,758.79x = 314,356.89 × 114,846.02
  4. Step 4: Simplify right side
    209,758.79x = 36,102,636,104.29
  5. Step 5: Solve for x
    x = 36,102,636,104.29/209,758.79
  6. Step 6: Final answer
    x = 172,115.01

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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.