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Finding the Fourth Proportional to 310,109.80, 465,164.70 and 85,469.80

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Solution

The fourth proportional to 310,109.80, 465,164.70 and 85,469.80 is: 128,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,109.80 : 465,164.70 = 85,469.80 : x
  2. Step 2: Convert to fraction form
    310,109.80/465,164.70 = 85,469.80/x
  3. Step 3: Cross multiply
    310,109.80x = 465,164.70 × 85,469.80
  4. Step 4: Simplify right side
    310,109.80x = 39,757,533,876.06
  5. Step 5: Solve for x
    x = 39,757,533,876.06/310,109.80
  6. Step 6: Final answer
    x = 128,204.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.