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Finding the Fourth Proportional to 239,970.89, 359,731.97 and 106,778.81

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Solution

The fourth proportional to 239,970.89, 359,731.97 and 106,778.81 is: 160,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,970.89 : 359,731.97 = 106,778.81 : x
  2. Step 2: Convert to fraction form
    239,970.89/359,731.97 = 106,778.81/x
  3. Step 3: Cross multiply
    239,970.89x = 359,731.97 × 106,778.81
  4. Step 4: Simplify right side
    239,970.89x = 38,411,751,141.66
  5. Step 5: Solve for x
    x = 38,411,751,141.66/239,970.89
  6. Step 6: Final answer
    x = 160,068.38

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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.