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Finding the Fourth Proportional to 188,307.48, 259,863.44 and 102,265.86

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Solution

The fourth proportional to 188,307.48, 259,863.44 and 102,265.86 is: 141,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,307.48 : 259,863.44 = 102,265.86 : x
  2. Step 2: Convert to fraction form
    188,307.48/259,863.44 = 102,265.86/x
  3. Step 3: Cross multiply
    188,307.48x = 259,863.44 × 102,265.86
  4. Step 4: Simplify right side
    188,307.48x = 26,575,157,662.83
  5. Step 5: Solve for x
    x = 26,575,157,662.83/188,307.48
  6. Step 6: Final answer
    x = 141,126.40

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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.