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Finding the Fourth Proportional to 147,633.80, 221,483.10 and 47,798.60

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Solution

The fourth proportional to 147,633.80, 221,483.10 and 47,798.60 is: 71,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,633.80 : 221,483.10 = 47,798.60 : x
  2. Step 2: Convert to fraction form
    147,633.80/221,483.10 = 47,798.60/x
  3. Step 3: Cross multiply
    147,633.80x = 221,483.10 × 47,798.60
  4. Step 4: Simplify right side
    147,633.80x = 10,586,582,103.66
  5. Step 5: Solve for x
    x = 10,586,582,103.66/147,633.80
  6. Step 6: Final answer
    x = 71,708.39

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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.