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Finding the Fourth Proportional to 201,332.64, 301,960.08 and 76,644.48

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Solution

The fourth proportional to 201,332.64, 301,960.08 and 76,644.48 is: 114,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,332.64 : 301,960.08 = 76,644.48 : x
  2. Step 2: Convert to fraction form
    201,332.64/301,960.08 = 76,644.48/x
  3. Step 3: Cross multiply
    201,332.64x = 301,960.08 × 76,644.48
  4. Step 4: Simplify right side
    201,332.64x = 23,143,573,312.36
  5. Step 5: Solve for x
    x = 23,143,573,312.36/201,332.64
  6. Step 6: Final answer
    x = 114,951.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.