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Finding the Fourth Proportional to 209,750.86, 289,447.32 and 114,258.34

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Solution

The fourth proportional to 209,750.86, 289,447.32 and 114,258.34 is: 157,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,750.86 : 289,447.32 = 114,258.34 : x
  2. Step 2: Convert to fraction form
    209,750.86/289,447.32 = 114,258.34/x
  3. Step 3: Cross multiply
    209,750.86x = 289,447.32 × 114,258.34
  4. Step 4: Simplify right side
    209,750.86x = 33,071,770,300.65
  5. Step 5: Solve for x
    x = 33,071,770,300.65/209,750.86
  6. Step 6: Final answer
    x = 157,671.68

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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.