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Finding the Fourth Proportional to 206,329.96, 284,859.54 and 134,829.64

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Solution

The fourth proportional to 206,329.96, 284,859.54 and 134,829.64 is: 186,146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,329.96 : 284,859.54 = 134,829.64 : x
  2. Step 2: Convert to fraction form
    206,329.96/284,859.54 = 134,829.64/x
  3. Step 3: Cross multiply
    206,329.96x = 284,859.54 × 134,829.64
  4. Step 4: Simplify right side
    206,329.96x = 38,407,509,228.77
  5. Step 5: Solve for x
    x = 38,407,509,228.77/206,329.96
  6. Step 6: Final answer
    x = 186,146.06

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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.