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Finding the Fourth Proportional to 199,356.47, 297,763.91 and 180,351.93

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Solution

The fourth proportional to 199,356.47, 297,763.91 and 180,351.93 is: 269,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,356.47 : 297,763.91 = 180,351.93 : x
  2. Step 2: Convert to fraction form
    199,356.47/297,763.91 = 180,351.93/x
  3. Step 3: Cross multiply
    199,356.47x = 297,763.91 × 180,351.93
  4. Step 4: Simplify right side
    199,356.47x = 53,702,296,303.73
  5. Step 5: Solve for x
    x = 53,702,296,303.73/199,356.47
  6. Step 6: Final answer
    x = 269,378.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.