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Finding the Fourth Proportional to 201,378.80, 277,871.64 and 116,503.76

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Solution

The fourth proportional to 201,378.80, 277,871.64 and 116,503.76 is: 160,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,378.80 : 277,871.64 = 116,503.76 : x
  2. Step 2: Convert to fraction form
    201,378.80/277,871.64 = 116,503.76/x
  3. Step 3: Cross multiply
    201,378.80x = 277,871.64 × 116,503.76
  4. Step 4: Simplify right side
    201,378.80x = 32,373,090,857.37
  5. Step 5: Solve for x
    x = 32,373,090,857.37/201,378.80
  6. Step 6: Final answer
    x = 160,757.19

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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.