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Finding the Fourth Proportional to 195,242.69, 292,790.12 and 106,447.86

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Solution

The fourth proportional to 195,242.69, 292,790.12 and 106,447.86 is: 159,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,242.69 : 292,790.12 = 106,447.86 : x
  2. Step 2: Convert to fraction form
    195,242.69/292,790.12 = 106,447.86/x
  3. Step 3: Cross multiply
    195,242.69x = 292,790.12 × 106,447.86
  4. Step 4: Simplify right side
    195,242.69x = 31,166,881,170.90
  5. Step 5: Solve for x
    x = 31,166,881,170.90/195,242.69
  6. Step 6: Final answer
    x = 159,631.49

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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.