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Finding the Fourth Proportional to 291,381.52, 402,107.88 and 164,059.24

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Solution

The fourth proportional to 291,381.52, 402,107.88 and 164,059.24 is: 226,402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,381.52 : 402,107.88 = 164,059.24 : x
  2. Step 2: Convert to fraction form
    291,381.52/402,107.88 = 164,059.24/x
  3. Step 3: Cross multiply
    291,381.52x = 402,107.88 × 164,059.24
  4. Step 4: Simplify right side
    291,381.52x = 65,969,513,190.81
  5. Step 5: Solve for x
    x = 65,969,513,190.81/291,381.52
  6. Step 6: Final answer
    x = 226,402.53

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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.