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Finding the Fourth Proportional to 291,880.55, 402,794.50 and 164,555.24

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Solution

The fourth proportional to 291,880.55, 402,794.50 and 164,555.24 is: 227,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,880.55 : 402,794.50 = 164,555.24 : x
  2. Step 2: Convert to fraction form
    291,880.55/402,794.50 = 164,555.24/x
  3. Step 3: Cross multiply
    291,880.55x = 402,794.50 × 164,555.24
  4. Step 4: Simplify right side
    291,880.55x = 66,281,942,781.43
  5. Step 5: Solve for x
    x = 66,281,942,781.43/291,880.55
  6. Step 6: Final answer
    x = 227,085.85

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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.