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Finding the Fourth Proportional to 206,999.40, 310,499.10 and 144,013.80

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Solution

The fourth proportional to 206,999.40, 310,499.10 and 144,013.80 is: 216,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,999.40 : 310,499.10 = 144,013.80 : x
  2. Step 2: Convert to fraction form
    206,999.40/310,499.10 = 144,013.80/x
  3. Step 3: Cross multiply
    206,999.40x = 310,499.10 × 144,013.80
  4. Step 4: Simplify right side
    206,999.40x = 44,716,155,287.58
  5. Step 5: Solve for x
    x = 44,716,155,287.58/206,999.40
  6. Step 6: Final answer
    x = 216,020.70

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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.