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Finding the Fourth Proportional to 209,497.92, 289,106.60 and 114,004.59

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Solution

The fourth proportional to 209,497.92, 289,106.60 and 114,004.59 is: 157,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,497.92 : 289,106.60 = 114,004.59 : x
  2. Step 2: Convert to fraction form
    209,497.92/289,106.60 = 114,004.59/x
  3. Step 3: Cross multiply
    209,497.92x = 289,106.60 × 114,004.59
  4. Step 4: Simplify right side
    209,497.92x = 32,959,478,829.27
  5. Step 5: Solve for x
    x = 32,959,478,829.27/209,497.92
  6. Step 6: Final answer
    x = 157,326.04

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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.