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Finding the Fourth Proportional to 228,971.56, 343,654.98 and 158,900.08

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Solution

The fourth proportional to 228,971.56, 343,654.98 and 158,900.08 is: 238,487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,971.56 : 343,654.98 = 158,900.08 : x
  2. Step 2: Convert to fraction form
    228,971.56/343,654.98 = 158,900.08/x
  3. Step 3: Cross multiply
    228,971.56x = 343,654.98 × 158,900.08
  4. Step 4: Simplify right side
    228,971.56x = 54,606,803,814.40
  5. Step 5: Solve for x
    x = 54,606,803,814.40/228,971.56
  6. Step 6: Final answer
    x = 238,487.28

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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.