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Finding the Fourth Proportional to 209,708.70, 289,401.30 and 114,215.34

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Solution

The fourth proportional to 209,708.70, 289,401.30 and 114,215.34 is: 157,618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,708.70 : 289,401.30 = 114,215.34 : x
  2. Step 2: Convert to fraction form
    209,708.70/289,401.30 = 114,215.34/x
  3. Step 3: Cross multiply
    209,708.70x = 289,401.30 × 114,215.34
  4. Step 4: Simplify right side
    209,708.70x = 33,054,067,875.94
  5. Step 5: Solve for x
    x = 33,054,067,875.94/209,708.70
  6. Step 6: Final answer
    x = 157,618.96

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1.5x scale

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.