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Finding the Fourth Proportional to 209,498.54, 289,114.01 and 114,011.28

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Solution

The fourth proportional to 209,498.54, 289,114.01 and 114,011.28 is: 157,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,498.54 : 289,114.01 = 114,011.28 : x
  2. Step 2: Convert to fraction form
    209,498.54/289,114.01 = 114,011.28/x
  3. Step 3: Cross multiply
    209,498.54x = 289,114.01 × 114,011.28
  4. Step 4: Simplify right side
    209,498.54x = 32,962,258,203.52
  5. Step 5: Solve for x
    x = 32,962,258,203.52/209,498.54
  6. Step 6: Final answer
    x = 157,338.85

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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.