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Finding the Fourth Proportional to 124,857, 187,285.50 and 37,305

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Solution

The fourth proportional to 124,857, 187,285.50 and 37,305 is: 55,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,857 : 187,285.50 = 37,305 : x
  2. Step 2: Convert to fraction form
    124,857/187,285.50 = 37,305/x
  3. Step 3: Cross multiply
    124,857x = 187,285.50 × 37,305
  4. Step 4: Simplify right side
    124,857x = 6,986,685,577.50
  5. Step 5: Solve for x
    x = 6,986,685,577.50/124,857
  6. Step 6: Final answer
    x = 55,957.50

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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.