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Finding the Fourth Proportional to 186,941.81, 257,978.34 and 102,058.85

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Solution

The fourth proportional to 186,941.81, 257,978.34 and 102,058.85 is: 140,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,941.81 : 257,978.34 = 102,058.85 : x
  2. Step 2: Convert to fraction form
    186,941.81/257,978.34 = 102,058.85/x
  3. Step 3: Cross multiply
    186,941.81x = 257,978.34 × 102,058.85
  4. Step 4: Simplify right side
    186,941.81x = 26,328,972,705.31
  5. Step 5: Solve for x
    x = 26,328,972,705.31/186,941.81
  6. Step 6: Final answer
    x = 140,840.47

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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.