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Finding the Fourth Proportional to 262,442.50, 393,722.07 and 96,230.50

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Solution

The fourth proportional to 262,442.50, 393,722.07 and 96,230.50 is: 144,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,442.50 : 393,722.07 = 96,230.50 : x
  2. Step 2: Convert to fraction form
    262,442.50/393,722.07 = 96,230.50/x
  3. Step 3: Cross multiply
    262,442.50x = 393,722.07 × 96,230.50
  4. Step 4: Simplify right side
    262,442.50x = 37,888,071,657.14
  5. Step 5: Solve for x
    x = 37,888,071,657.14/262,442.50
  6. Step 6: Final answer
    x = 144,367.13

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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.