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Finding the Fourth Proportional to 342,908.64, 514,175.04 and 106,185.60

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Solution

The fourth proportional to 342,908.64, 514,175.04 and 106,185.60 is: 159,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,908.64 : 514,175.04 = 106,185.60 : x
  2. Step 2: Convert to fraction form
    342,908.64/514,175.04 = 106,185.60/x
  3. Step 3: Cross multiply
    342,908.64x = 514,175.04 × 106,185.60
  4. Step 4: Simplify right side
    342,908.64x = 54,597,985,127.42
  5. Step 5: Solve for x
    x = 54,597,985,127.42/342,908.64
  6. Step 6: Final answer
    x = 159,220.21

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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.