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Finding the Fourth Proportional to 241,095.88, 361,293.90 and 135,689.77

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Solution

The fourth proportional to 241,095.88, 361,293.90 and 135,689.77 is: 203,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,095.88 : 361,293.90 = 135,689.77 : x
  2. Step 2: Convert to fraction form
    241,095.88/361,293.90 = 135,689.77/x
  3. Step 3: Cross multiply
    241,095.88x = 361,293.90 × 135,689.77
  4. Step 4: Simplify right side
    241,095.88x = 49,023,886,193.40
  5. Step 5: Solve for x
    x = 49,023,886,193.40/241,095.88
  6. Step 6: Final answer
    x = 203,337.72

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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.