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Finding the Fourth Proportional to 209,866.70, 289,616.26 and 114,373.47

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Solution

The fourth proportional to 209,866.70, 289,616.26 and 114,373.47 is: 157,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,866.70 : 289,616.26 = 114,373.47 : x
  2. Step 2: Convert to fraction form
    209,866.70/289,616.26 = 114,373.47/x
  3. Step 3: Cross multiply
    209,866.70x = 289,616.26 × 114,373.47
  4. Step 4: Simplify right side
    209,866.70x = 33,124,416,624.62
  5. Step 5: Solve for x
    x = 33,124,416,624.62/209,866.70
  6. Step 6: Final answer
    x = 157,835.51

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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.