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Finding the Fourth Proportional to 238,051.56, 357,170.31 and 104,838.21

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Solution

The fourth proportional to 238,051.56, 357,170.31 and 104,838.21 is: 157,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,051.56 : 357,170.31 = 104,838.21 : x
  2. Step 2: Convert to fraction form
    238,051.56/357,170.31 = 104,838.21/x
  3. Step 3: Cross multiply
    238,051.56x = 357,170.31 × 104,838.21
  4. Step 4: Simplify right side
    238,051.56x = 37,445,095,965.55
  5. Step 5: Solve for x
    x = 37,445,095,965.55/238,051.56
  6. Step 6: Final answer
    x = 157,298.26

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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.