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Finding the Fourth Proportional to 137,714.30, 206,592.27 and 48,946.70

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Solution

The fourth proportional to 137,714.30, 206,592.27 and 48,946.70 is: 73,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,714.30 : 206,592.27 = 48,946.70 : x
  2. Step 2: Convert to fraction form
    137,714.30/206,592.27 = 48,946.70/x
  3. Step 3: Cross multiply
    137,714.30x = 206,592.27 × 48,946.70
  4. Step 4: Simplify right side
    137,714.30x = 10,112,009,862.01
  5. Step 5: Solve for x
    x = 10,112,009,862.01/137,714.30
  6. Step 6: Final answer
    x = 73,427.45

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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.