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Finding the Fourth Proportional to 228,310.31, 342,467.78 and 101,957.00

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Solution

The fourth proportional to 228,310.31, 342,467.78 and 101,957.00 is: 152,936.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,310.31 : 342,467.78 = 101,957.00 : x
  2. Step 2: Convert to fraction form
    228,310.31/342,467.78 = 101,957.00/x
  3. Step 3: Cross multiply
    228,310.31x = 342,467.78 × 101,957.00
  4. Step 4: Simplify right side
    228,310.31x = 34,916,985,223.34
  5. Step 5: Solve for x
    x = 34,916,985,223.34/228,310.31
  6. Step 6: Final answer
    x = 152,936.53

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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.