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Finding the Fourth Proportional to 106,937, 147,612 and 62,225

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Solution

The fourth proportional to 106,937, 147,612 and 62,225 is: 85,893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,937 : 147,612 = 62,225 : x
  2. Step 2: Convert to fraction form
    106,937/147,612 = 62,225/x
  3. Step 3: Cross multiply
    106,937x = 147,612 × 62,225
  4. Step 4: Simplify right side
    106,937x = 9,185,156,700
  5. Step 5: Solve for x
    x = 9,185,156,700/106,937
  6. Step 6: Final answer
    x = 85,893.16

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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.