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Finding the Fourth Proportional to 209,997.70, 314,960.10 and 76,809.40

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Solution

The fourth proportional to 209,997.70, 314,960.10 and 76,809.40 is: 115,200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,997.70 : 314,960.10 = 76,809.40 : x
  2. Step 2: Convert to fraction form
    209,997.70/314,960.10 = 76,809.40/x
  3. Step 3: Cross multiply
    209,997.70x = 314,960.10 × 76,809.40
  4. Step 4: Simplify right side
    209,997.70x = 24,191,896,304.94
  5. Step 5: Solve for x
    x = 24,191,896,304.94/209,997.70
  6. Step 6: Final answer
    x = 115,200.77

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1.5x scale

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.