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Finding the Fourth Proportional to 187,835.96, 259,214.38 and 101,795.13

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Solution

The fourth proportional to 187,835.96, 259,214.38 and 101,795.13 is: 140,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,835.96 : 259,214.38 = 101,795.13 : x
  2. Step 2: Convert to fraction form
    187,835.96/259,214.38 = 101,795.13/x
  3. Step 3: Cross multiply
    187,835.96x = 259,214.38 × 101,795.13
  4. Step 4: Simplify right side
    187,835.96x = 26,386,761,255.48
  5. Step 5: Solve for x
    x = 26,386,761,255.48/187,835.96
  6. Step 6: Final answer
    x = 140,477.69

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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.