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Finding the Fourth Proportional to 199,647.63, 299,470.23 and 49,887.14

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Solution

The fourth proportional to 199,647.63, 299,470.23 and 49,887.14 is: 74,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,647.63 : 299,470.23 = 49,887.14 : x
  2. Step 2: Convert to fraction form
    199,647.63/299,470.23 = 49,887.14/x
  3. Step 3: Cross multiply
    199,647.63x = 299,470.23 × 49,887.14
  4. Step 4: Simplify right side
    199,647.63x = 14,939,711,792.49
  5. Step 5: Solve for x
    x = 14,939,711,792.49/199,647.63
  6. Step 6: Final answer
    x = 74,830.40

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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.