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Finding the Fourth Proportional to 188,466.88, 260,085.92 and 103,585.92

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Solution

The fourth proportional to 188,466.88, 260,085.92 and 103,585.92 is: 142,949.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,466.88 : 260,085.92 = 103,585.92 : x
  2. Step 2: Convert to fraction form
    188,466.88/260,085.92 = 103,585.92/x
  3. Step 3: Cross multiply
    188,466.88x = 260,085.92 × 103,585.92
  4. Step 4: Simplify right side
    188,466.88x = 26,941,239,302.25
  5. Step 5: Solve for x
    x = 26,941,239,302.25/188,466.88
  6. Step 6: Final answer
    x = 142,949.46

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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.