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Finding the Fourth Proportional to 291,693.88, 402,537.56 and 164,374.03

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Solution

The fourth proportional to 291,693.88, 402,537.56 and 164,374.03 is: 226,836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,693.88 : 402,537.56 = 164,374.03 : x
  2. Step 2: Convert to fraction form
    291,693.88/402,537.56 = 164,374.03/x
  3. Step 3: Cross multiply
    291,693.88x = 402,537.56 × 164,374.03
  4. Step 4: Simplify right side
    291,693.88x = 66,166,720,963.57
  5. Step 5: Solve for x
    x = 66,166,720,963.57/291,693.88
  6. Step 6: Final answer
    x = 226,836.16

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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.