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Finding the Fourth Proportional to 293,138, 439,594.91 and 159,947.06

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Solution

The fourth proportional to 293,138, 439,594.91 and 159,947.06 is: 239,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,138 : 439,594.91 = 159,947.06 : x
  2. Step 2: Convert to fraction form
    293,138/439,594.91 = 159,947.06/x
  3. Step 3: Cross multiply
    293,138x = 439,594.91 × 159,947.06
  4. Step 4: Simplify right side
    293,138x = 70,311,913,445.46
  5. Step 5: Solve for x
    x = 70,311,913,445.46/293,138
  6. Step 6: Final answer
    x = 239,859.43

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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.