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Finding the Fourth Proportional to 207,164.59, 285,884.28 and 116,520.50

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Solution

The fourth proportional to 207,164.59, 285,884.28 and 116,520.50 is: 160,796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,164.59 : 285,884.28 = 116,520.50 : x
  2. Step 2: Convert to fraction form
    207,164.59/285,884.28 = 116,520.50/x
  3. Step 3: Cross multiply
    207,164.59x = 285,884.28 × 116,520.50
  4. Step 4: Simplify right side
    207,164.59x = 33,311,379,962.45
  5. Step 5: Solve for x
    x = 33,311,379,962.45/207,164.59
  6. Step 6: Final answer
    x = 160,796.69

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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.