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Finding the Fourth Proportional to 206,833.68, 285,430.32 and 117,409.68

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Solution

The fourth proportional to 206,833.68, 285,430.32 and 117,409.68 is: 162,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,833.68 : 285,430.32 = 117,409.68 : x
  2. Step 2: Convert to fraction form
    206,833.68/285,430.32 = 117,409.68/x
  3. Step 3: Cross multiply
    206,833.68x = 285,430.32 × 117,409.68
  4. Step 4: Simplify right side
    206,833.68x = 33,512,282,533.50
  5. Step 5: Solve for x
    x = 33,512,282,533.50/206,833.68
  6. Step 6: Final answer
    x = 162,025.27

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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.