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Finding the Fourth Proportional to 205,507.76, 283,487.16 and 167,308.40

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Solution

The fourth proportional to 205,507.76, 283,487.16 and 167,308.40 is: 230,793.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,507.76 : 283,487.16 = 167,308.40 : x
  2. Step 2: Convert to fraction form
    205,507.76/283,487.16 = 167,308.40/x
  3. Step 3: Cross multiply
    205,507.76x = 283,487.16 × 167,308.40
  4. Step 4: Simplify right side
    205,507.76x = 47,429,783,160.14
  5. Step 5: Solve for x
    x = 47,429,783,160.14/205,507.76
  6. Step 6: Final answer
    x = 230,793.15

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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.