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Finding the Fourth Proportional to 200,513.06, 276,697.48 and 114,468.65

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Solution

The fourth proportional to 200,513.06, 276,697.48 and 114,468.65 is: 157,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,513.06 : 276,697.48 = 114,468.65 : x
  2. Step 2: Convert to fraction form
    200,513.06/276,697.48 = 114,468.65/x
  3. Step 3: Cross multiply
    200,513.06x = 276,697.48 × 114,468.65
  4. Step 4: Simplify right side
    200,513.06x = 31,673,186,994.00
  5. Step 5: Solve for x
    x = 31,673,186,994.00/200,513.06
  6. Step 6: Final answer
    x = 157,960.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.