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Finding the Fourth Proportional to 209,674.64, 314,363.70 and 67,475.92

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Solution

The fourth proportional to 209,674.64, 314,363.70 and 67,475.92 is: 101,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,674.64 : 314,363.70 = 67,475.92 : x
  2. Step 2: Convert to fraction form
    209,674.64/314,363.70 = 67,475.92/x
  3. Step 3: Cross multiply
    209,674.64x = 314,363.70 × 67,475.92
  4. Step 4: Simplify right side
    209,674.64x = 21,211,979,872.10
  5. Step 5: Solve for x
    x = 21,211,979,872.10/209,674.64
  6. Step 6: Final answer
    x = 101,166.17

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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.