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Finding the Fourth Proportional to 201,142.46, 277,545.77 and 116,243.14

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Solution

The fourth proportional to 201,142.46, 277,545.77 and 116,243.14 is: 160,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,142.46 : 277,545.77 = 116,243.14 : x
  2. Step 2: Convert to fraction form
    201,142.46/277,545.77 = 116,243.14/x
  3. Step 3: Cross multiply
    201,142.46x = 277,545.77 × 116,243.14
  4. Step 4: Simplify right side
    201,142.46x = 32,262,791,798.52
  5. Step 5: Solve for x
    x = 32,262,791,798.52/201,142.46
  6. Step 6: Final answer
    x = 160,397.72

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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.