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Finding the Fourth Proportional to 209,744.68, 289,454.34 and 114,254.44

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Solution

The fourth proportional to 209,744.68, 289,454.34 and 114,254.44 is: 157,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,744.68 : 289,454.34 = 114,254.44 : x
  2. Step 2: Convert to fraction form
    209,744.68/289,454.34 = 114,254.44/x
  3. Step 3: Cross multiply
    209,744.68x = 289,454.34 × 114,254.44
  4. Step 4: Simplify right side
    209,744.68x = 33,071,443,522.27
  5. Step 5: Solve for x
    x = 33,071,443,522.27/209,744.68
  6. Step 6: Final answer
    x = 157,674.77

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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.