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Finding the Fourth Proportional to 147,782.34, 221,673.42 and 36,974.34

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Solution

The fourth proportional to 147,782.34, 221,673.42 and 36,974.34 is: 55,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,782.34 : 221,673.42 = 36,974.34 : x
  2. Step 2: Convert to fraction form
    147,782.34/221,673.42 = 36,974.34/x
  3. Step 3: Cross multiply
    147,782.34x = 221,673.42 × 36,974.34
  4. Step 4: Simplify right side
    147,782.34x = 8,196,228,400.04
  5. Step 5: Solve for x
    x = 8,196,228,400.04/147,782.34
  6. Step 6: Final answer
    x = 55,461.49

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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.