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Finding the Fourth Proportional to 187,762.16, 259,122.15 and 107,215.55

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Solution

The fourth proportional to 187,762.16, 259,122.15 and 107,215.55 is: 147,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,762.16 : 259,122.15 = 107,215.55 : x
  2. Step 2: Convert to fraction form
    187,762.16/259,122.15 = 107,215.55/x
  3. Step 3: Cross multiply
    187,762.16x = 259,122.15 × 107,215.55
  4. Step 4: Simplify right side
    187,762.16x = 27,781,924,477.24
  5. Step 5: Solve for x
    x = 27,781,924,477.24/187,762.16
  6. Step 6: Final answer
    x = 147,963.39

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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.