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Finding the Fourth Proportional to 408,051.30, 612,076.95 and 158,733.30

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Solution

The fourth proportional to 408,051.30, 612,076.95 and 158,733.30 is: 238,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,051.30 : 612,076.95 = 158,733.30 : x
  2. Step 2: Convert to fraction form
    408,051.30/612,076.95 = 158,733.30/x
  3. Step 3: Cross multiply
    408,051.30x = 612,076.95 × 158,733.30
  4. Step 4: Simplify right side
    408,051.30x = 97,156,994,127.44
  5. Step 5: Solve for x
    x = 97,156,994,127.44/408,051.30
  6. Step 6: Final answer
    x = 238,099.95

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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.