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Finding the Fourth Proportional to 228,971.83, 343,387.72 and 158,348.34

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Solution

The fourth proportional to 228,971.83, 343,387.72 and 158,348.34 is: 237,474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,971.83 : 343,387.72 = 158,348.34 : x
  2. Step 2: Convert to fraction form
    228,971.83/343,387.72 = 158,348.34/x
  3. Step 3: Cross multiply
    228,971.83x = 343,387.72 × 158,348.34
  4. Step 4: Simplify right side
    228,971.83x = 54,374,875,438.38
  5. Step 5: Solve for x
    x = 54,374,875,438.38/228,971.83
  6. Step 6: Final answer
    x = 237,474.08

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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.