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Finding the Fourth Proportional to 153,969.42, 230,960.61 and 48,786.06

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Solution

The fourth proportional to 153,969.42, 230,960.61 and 48,786.06 is: 73,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,969.42 : 230,960.61 = 48,786.06 : x
  2. Step 2: Convert to fraction form
    153,969.42/230,960.61 = 48,786.06/x
  3. Step 3: Cross multiply
    153,969.42x = 230,960.61 × 48,786.06
  4. Step 4: Simplify right side
    153,969.42x = 11,267,658,177.10
  5. Step 5: Solve for x
    x = 11,267,658,177.10/153,969.42
  6. Step 6: Final answer
    x = 73,181.14

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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.