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Finding the Fourth Proportional to 260,399.44, 359,232.06 and 152,967.52

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Solution

The fourth proportional to 260,399.44, 359,232.06 and 152,967.52 is: 211,025.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,399.44 : 359,232.06 = 152,967.52 : x
  2. Step 2: Convert to fraction form
    260,399.44/359,232.06 = 152,967.52/x
  3. Step 3: Cross multiply
    260,399.44x = 359,232.06 × 152,967.52
  4. Step 4: Simplify right side
    260,399.44x = 54,950,837,322.69
  5. Step 5: Solve for x
    x = 54,950,837,322.69/260,399.44
  6. Step 6: Final answer
    x = 211,025.17

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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.