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Finding the Fourth Proportional to 291,963.51, 402,983.04 and 164,712.92

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Solution

The fourth proportional to 291,963.51, 402,983.04 and 164,712.92 is: 227,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,963.51 : 402,983.04 = 164,712.92 : x
  2. Step 2: Convert to fraction form
    291,963.51/402,983.04 = 164,712.92/x
  3. Step 3: Cross multiply
    291,963.51x = 402,983.04 × 164,712.92
  4. Step 4: Simplify right side
    291,963.51x = 66,376,511,213.96
  5. Step 5: Solve for x
    x = 66,376,511,213.96/291,963.51
  6. Step 6: Final answer
    x = 227,345.23

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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.