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Finding the Fourth Proportional to 201,013.76, 277,378.44 and 116,158.16

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Solution

The fourth proportional to 201,013.76, 277,378.44 and 116,158.16 is: 160,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,013.76 : 277,378.44 = 116,158.16 : x
  2. Step 2: Convert to fraction form
    201,013.76/277,378.44 = 116,158.16/x
  3. Step 3: Cross multiply
    201,013.76x = 277,378.44 × 116,158.16
  4. Step 4: Simplify right side
    201,013.76x = 32,219,769,214.07
  5. Step 5: Solve for x
    x = 32,219,769,214.07/201,013.76
  6. Step 6: Final answer
    x = 160,286.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.