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Finding the Fourth Proportional to 209,498.82, 289,114.40 and 114,011.56

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Solution

The fourth proportional to 209,498.82, 289,114.40 and 114,011.56 is: 157,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,498.82 : 289,114.40 = 114,011.56 : x
  2. Step 2: Convert to fraction form
    209,498.82/289,114.40 = 114,011.56/x
  3. Step 3: Cross multiply
    209,498.82x = 289,114.40 × 114,011.56
  4. Step 4: Simplify right side
    209,498.82x = 32,962,383,762.46
  5. Step 5: Solve for x
    x = 32,962,383,762.46/209,498.82
  6. Step 6: Final answer
    x = 157,339.23

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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.