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Finding the Fourth Proportional to 209,496.32, 289,110.95 and 114,009.06

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Solution

The fourth proportional to 209,496.32, 289,110.95 and 114,009.06 is: 157,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,496.32 : 289,110.95 = 114,009.06 : x
  2. Step 2: Convert to fraction form
    209,496.32/289,110.95 = 114,009.06/x
  3. Step 3: Cross multiply
    209,496.32x = 289,110.95 × 114,009.06
  4. Step 4: Simplify right side
    209,496.32x = 32,961,267,645.21
  5. Step 5: Solve for x
    x = 32,961,267,645.21/209,496.32
  6. Step 6: Final answer
    x = 157,335.78

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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.