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Finding the Fourth Proportional to 260,197.87, 359,068.38 and 147,018.19

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Solution

The fourth proportional to 260,197.87, 359,068.38 and 147,018.19 is: 202,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,197.87 : 359,068.38 = 147,018.19 : x
  2. Step 2: Convert to fraction form
    260,197.87/359,068.38 = 147,018.19/x
  3. Step 3: Cross multiply
    260,197.87x = 359,068.38 × 147,018.19
  4. Step 4: Simplify right side
    260,197.87x = 52,789,583,313.83
  5. Step 5: Solve for x
    x = 52,789,583,313.83/260,197.87
  6. Step 6: Final answer
    x = 202,882.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.