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Finding the Fourth Proportional to 291,335.72, 402,042.90 and 164,052.44

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Solution

The fourth proportional to 291,335.72, 402,042.90 and 164,052.44 is: 226,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,335.72 : 402,042.90 = 164,052.44 : x
  2. Step 2: Convert to fraction form
    291,335.72/402,042.90 = 164,052.44/x
  3. Step 3: Cross multiply
    291,335.72x = 402,042.90 × 164,052.44
  4. Step 4: Simplify right side
    291,335.72x = 65,956,118,729.68
  5. Step 5: Solve for x
    x = 65,956,118,729.68/291,335.72
  6. Step 6: Final answer
    x = 226,392.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.