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Finding the Fourth Proportional to 200,440.69, 276,612.61 and 114,397.95

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Solution

The fourth proportional to 200,440.69, 276,612.61 and 114,397.95 is: 157,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,440.69 : 276,612.61 = 114,397.95 : x
  2. Step 2: Convert to fraction form
    200,440.69/276,612.61 = 114,397.95/x
  3. Step 3: Cross multiply
    200,440.69x = 276,612.61 × 114,397.95
  4. Step 4: Simplify right side
    200,440.69x = 31,643,915,242.15
  5. Step 5: Solve for x
    x = 31,643,915,242.15/200,440.69
  6. Step 6: Final answer
    x = 157,871.72

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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.