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Finding the Fourth Proportional to 199,416.40, 298,784.40 and 94,019.20

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Solution

The fourth proportional to 199,416.40, 298,784.40 and 94,019.20 is: 140,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,416.40 : 298,784.40 = 94,019.20 : x
  2. Step 2: Convert to fraction form
    199,416.40/298,784.40 = 94,019.20/x
  3. Step 3: Cross multiply
    199,416.40x = 298,784.40 × 94,019.20
  4. Step 4: Simplify right side
    199,416.40x = 28,091,470,260.48
  5. Step 5: Solve for x
    x = 28,091,470,260.48/199,416.40
  6. Step 6: Final answer
    x = 140,868.41

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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.