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Finding the Fourth Proportional to 262,085, 393,127.50 and 75,096.50

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Solution

The fourth proportional to 262,085, 393,127.50 and 75,096.50 is: 112,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,085 : 393,127.50 = 75,096.50 : x
  2. Step 2: Convert to fraction form
    262,085/393,127.50 = 75,096.50/x
  3. Step 3: Cross multiply
    262,085x = 393,127.50 × 75,096.50
  4. Step 4: Simplify right side
    262,085x = 29,522,499,303.75
  5. Step 5: Solve for x
    x = 29,522,499,303.75/262,085
  6. Step 6: Final answer
    x = 112,644.75

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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.