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Finding the Fourth Proportional to 199,603.40, 298,967.70 and 105,999.80

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Solution

The fourth proportional to 199,603.40, 298,967.70 and 105,999.80 is: 158,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,603.40 : 298,967.70 = 105,999.80 : x
  2. Step 2: Convert to fraction form
    199,603.40/298,967.70 = 105,999.80/x
  3. Step 3: Cross multiply
    199,603.40x = 298,967.70 × 105,999.80
  4. Step 4: Simplify right side
    199,603.40x = 31,690,516,406.46
  5. Step 5: Solve for x
    x = 31,690,516,406.46/199,603.40
  6. Step 6: Final answer
    x = 158,767.42

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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.