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Finding the Fourth Proportional to 209,909.80, 289,671.78 and 114,416.20

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Solution

The fourth proportional to 209,909.80, 289,671.78 and 114,416.20 is: 157,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,909.80 : 289,671.78 = 114,416.20 : x
  2. Step 2: Convert to fraction form
    209,909.80/289,671.78 = 114,416.20/x
  3. Step 3: Cross multiply
    209,909.80x = 289,671.78 × 114,416.20
  4. Step 4: Simplify right side
    209,909.80x = 33,143,144,314.84
  5. Step 5: Solve for x
    x = 33,143,144,314.84/209,909.80
  6. Step 6: Final answer
    x = 157,892.32

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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.