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Finding the Fourth Proportional to 147,494.64, 221,241.54 and 36,686.64

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Solution

The fourth proportional to 147,494.64, 221,241.54 and 36,686.64 is: 55,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,494.64 : 221,241.54 = 36,686.64 : x
  2. Step 2: Convert to fraction form
    147,494.64/221,241.54 = 36,686.64/x
  3. Step 3: Cross multiply
    147,494.64x = 221,241.54 × 36,686.64
  4. Step 4: Simplify right side
    147,494.64x = 8,116,608,731.03
  5. Step 5: Solve for x
    x = 8,116,608,731.03/147,494.64
  6. Step 6: Final answer
    x = 55,029.86

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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.