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Finding the Fourth Proportional to 187,854, 259,238.58 and 102,971.64

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Solution

The fourth proportional to 187,854, 259,238.58 and 102,971.64 is: 142,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,854 : 259,238.58 = 102,971.64 : x
  2. Step 2: Convert to fraction form
    187,854/259,238.58 = 102,971.64/x
  3. Step 3: Cross multiply
    187,854x = 259,238.58 × 102,971.64
  4. Step 4: Simplify right side
    187,854x = 26,694,221,733.87
  5. Step 5: Solve for x
    x = 26,694,221,733.87/187,854
  6. Step 6: Final answer
    x = 142,100.90

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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.