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Finding the Fourth Proportional to 336,142.20, 463,893.52 and 185,239.20

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Solution

The fourth proportional to 336,142.20, 463,893.52 and 185,239.20 is: 255,639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,142.20 : 463,893.52 = 185,239.20 : x
  2. Step 2: Convert to fraction form
    336,142.20/463,893.52 = 185,239.20/x
  3. Step 3: Cross multiply
    336,142.20x = 463,893.52 × 185,239.20
  4. Step 4: Simplify right side
    336,142.20x = 85,931,264,529.98
  5. Step 5: Solve for x
    x = 85,931,264,529.98/336,142.20
  6. Step 6: Final answer
    x = 255,639.62

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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.