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Finding the Fourth Proportional to 228,963.56, 343,642.98 and 158,892.08

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Solution

The fourth proportional to 228,963.56, 343,642.98 and 158,892.08 is: 238,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,963.56 : 343,642.98 = 158,892.08 : x
  2. Step 2: Convert to fraction form
    228,963.56/343,642.98 = 158,892.08/x
  3. Step 3: Cross multiply
    228,963.56x = 343,642.98 × 158,892.08
  4. Step 4: Simplify right side
    228,963.56x = 54,602,147,869.60
  5. Step 5: Solve for x
    x = 54,602,147,869.60/228,963.56
  6. Step 6: Final answer
    x = 238,475.27

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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.