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Finding the Fourth Proportional to 200,957.28, 277,322.88 and 116,072.40

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Solution

The fourth proportional to 200,957.28, 277,322.88 and 116,072.40 is: 160,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,957.28 : 277,322.88 = 116,072.40 : x
  2. Step 2: Convert to fraction form
    200,957.28/277,322.88 = 116,072.40/x
  3. Step 3: Cross multiply
    200,957.28x = 277,322.88 × 116,072.40
  4. Step 4: Simplify right side
    200,957.28x = 32,189,532,256.51
  5. Step 5: Solve for x
    x = 32,189,532,256.51/200,957.28
  6. Step 6: Final answer
    x = 160,180.97

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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.