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Finding the Fourth Proportional to 235,703.42, 353,599.14 and 78,042.86

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Solution

The fourth proportional to 235,703.42, 353,599.14 and 78,042.86 is: 117,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,703.42 : 353,599.14 = 78,042.86 : x
  2. Step 2: Convert to fraction form
    235,703.42/353,599.14 = 78,042.86/x
  3. Step 3: Cross multiply
    235,703.42x = 353,599.14 × 78,042.86
  4. Step 4: Simplify right side
    235,703.42x = 27,595,888,179.14
  5. Step 5: Solve for x
    x = 27,595,888,179.14/235,703.42
  6. Step 6: Final answer
    x = 117,078.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.