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Finding the Fourth Proportional to 147,782.65, 221,705.13 and 47,935.08

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Solution

The fourth proportional to 147,782.65, 221,705.13 and 47,935.08 is: 71,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,782.65 : 221,705.13 = 47,935.08 : x
  2. Step 2: Convert to fraction form
    147,782.65/221,705.13 = 47,935.08/x
  3. Step 3: Cross multiply
    147,782.65x = 221,705.13 × 47,935.08
  4. Step 4: Simplify right side
    147,782.65x = 10,627,453,142.96
  5. Step 5: Solve for x
    x = 10,627,453,142.96/147,782.65
  6. Step 6: Final answer
    x = 71,912.73

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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.