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Finding the Fourth Proportional to 199,133.10, 298,699.65 and 128,274.30

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Solution

The fourth proportional to 199,133.10, 298,699.65 and 128,274.30 is: 192,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,133.10 : 298,699.65 = 128,274.30 : x
  2. Step 2: Convert to fraction form
    199,133.10/298,699.65 = 128,274.30/x
  3. Step 3: Cross multiply
    199,133.10x = 298,699.65 × 128,274.30
  4. Step 4: Simplify right side
    199,133.10x = 38,315,488,514.00
  5. Step 5: Solve for x
    x = 38,315,488,514.00/199,133.10
  6. Step 6: Final answer
    x = 192,411.45

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