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Finding the Fourth Proportional to 187,773.52, 259,134.60 and 107,214.16

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Solution

The fourth proportional to 187,773.52, 259,134.60 and 107,214.16 is: 147,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,773.52 : 259,134.60 = 107,214.16 : x
  2. Step 2: Convert to fraction form
    187,773.52/259,134.60 = 107,214.16/x
  3. Step 3: Cross multiply
    187,773.52x = 259,134.60 × 107,214.16
  4. Step 4: Simplify right side
    187,773.52x = 27,782,898,465.94
  5. Step 5: Solve for x
    x = 27,782,898,465.94/187,773.52
  6. Step 6: Final answer
    x = 147,959.62

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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.