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Finding the Fourth Proportional to 186,290.88, 257,081.44 and 101,408.58

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Solution

The fourth proportional to 186,290.88, 257,081.44 and 101,408.58 is: 139,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,290.88 : 257,081.44 = 101,408.58 : x
  2. Step 2: Convert to fraction form
    186,290.88/257,081.44 = 101,408.58/x
  3. Step 3: Cross multiply
    186,290.88x = 257,081.44 × 101,408.58
  4. Step 4: Simplify right side
    186,290.88x = 26,070,262,235.83
  5. Step 5: Solve for x
    x = 26,070,262,235.83/186,290.88
  6. Step 6: Final answer
    x = 139,943.85

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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.