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Finding the Fourth Proportional to 201,150.96, 277,557.50 and 116,251.64

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Solution

The fourth proportional to 201,150.96, 277,557.50 and 116,251.64 is: 160,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,150.96 : 277,557.50 = 116,251.64 : x
  2. Step 2: Convert to fraction form
    201,150.96/277,557.50 = 116,251.64/x
  3. Step 3: Cross multiply
    201,150.96x = 277,557.50 × 116,251.64
  4. Step 4: Simplify right side
    201,150.96x = 32,266,514,569.30
  5. Step 5: Solve for x
    x = 32,266,514,569.30/201,150.96
  6. Step 6: Final answer
    x = 160,409.45

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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.