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Finding the Fourth Proportional to 200,728.61, 276,979.86 and 114,693.17

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Solution

The fourth proportional to 200,728.61, 276,979.86 and 114,693.17 is: 158,261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,728.61 : 276,979.86 = 114,693.17 : x
  2. Step 2: Convert to fraction form
    200,728.61/276,979.86 = 114,693.17/x
  3. Step 3: Cross multiply
    200,728.61x = 276,979.86 × 114,693.17
  4. Step 4: Simplify right side
    200,728.61x = 31,767,697,474.42
  5. Step 5: Solve for x
    x = 31,767,697,474.42/200,728.61
  6. Step 6: Final answer
    x = 158,261.93

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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.