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Finding the Fourth Proportional to 159,795, 239,784.08 and 65,007.69

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Solution

The fourth proportional to 159,795, 239,784.08 and 65,007.69 is: 97,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,795 : 239,784.08 = 65,007.69 : x
  2. Step 2: Convert to fraction form
    159,795/239,784.08 = 65,007.69/x
  3. Step 3: Cross multiply
    159,795x = 239,784.08 × 65,007.69
  4. Step 4: Simplify right side
    159,795x = 15,587,809,139.58
  5. Step 5: Solve for x
    x = 15,587,809,139.58/159,795
  6. Step 6: Final answer
    x = 97,548.79

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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.