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Finding the Fourth Proportional to 201,826.64, 302,773.08 and 164,714.96

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Solution

The fourth proportional to 201,826.64, 302,773.08 and 164,714.96 is: 247,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,826.64 : 302,773.08 = 164,714.96 : x
  2. Step 2: Convert to fraction form
    201,826.64/302,773.08 = 164,714.96/x
  3. Step 3: Cross multiply
    201,826.64x = 302,773.08 × 164,714.96
  4. Step 4: Simplify right side
    201,826.64x = 49,871,255,761.28
  5. Step 5: Solve for x
    x = 49,871,255,761.28/201,826.64
  6. Step 6: Final answer
    x = 247,099.47

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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.