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Finding the Fourth Proportional to 114,246, 171,369 and 31,140

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Solution

The fourth proportional to 114,246, 171,369 and 31,140 is: 46,710

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,246 : 171,369 = 31,140 : x
  2. Step 2: Convert to fraction form
    114,246/171,369 = 31,140/x
  3. Step 3: Cross multiply
    114,246x = 171,369 × 31,140
  4. Step 4: Simplify right side
    114,246x = 5,336,430,660
  5. Step 5: Solve for x
    x = 5,336,430,660/114,246
  6. Step 6: Final answer
    x = 46,710

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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.