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Finding the Fourth Proportional to 147,722.64, 221,564.52 and 41,113.68

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Solution

The fourth proportional to 147,722.64, 221,564.52 and 41,113.68 is: 61,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,722.64 : 221,564.52 = 41,113.68 : x
  2. Step 2: Convert to fraction form
    147,722.64/221,564.52 = 41,113.68/x
  3. Step 3: Cross multiply
    147,722.64x = 221,564.52 × 41,113.68
  4. Step 4: Simplify right side
    147,722.64x = 9,109,332,774.63
  5. Step 5: Solve for x
    x = 9,109,332,774.63/147,722.64
  6. Step 6: Final answer
    x = 61,665.11

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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.