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Finding the Fourth Proportional to 227,858.16, 341,835.70 and 78,058.24

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Solution

The fourth proportional to 227,858.16, 341,835.70 and 78,058.24 is: 117,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,858.16 : 341,835.70 = 78,058.24 : x
  2. Step 2: Convert to fraction form
    227,858.16/341,835.70 = 78,058.24/x
  3. Step 3: Cross multiply
    227,858.16x = 341,835.70 × 78,058.24
  4. Step 4: Simplify right side
    227,858.16x = 26,683,093,111.17
  5. Step 5: Solve for x
    x = 26,683,093,111.17/227,858.16
  6. Step 6: Final answer
    x = 117,103.96

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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.