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Finding the Fourth Proportional to 262,193.70, 392,659.70 and 177,697.50

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Solution

The fourth proportional to 262,193.70, 392,659.70 and 177,697.50 is: 266,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,193.70 : 392,659.70 = 177,697.50 : x
  2. Step 2: Convert to fraction form
    262,193.70/392,659.70 = 177,697.50/x
  3. Step 3: Cross multiply
    262,193.70x = 392,659.70 × 177,697.50
  4. Step 4: Simplify right side
    262,193.70x = 69,774,644,679.79
  5. Step 5: Solve for x
    x = 69,774,644,679.79/262,193.70
  6. Step 6: Final answer
    x = 266,118.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.