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Finding the Fourth Proportional to 210,820.57, 315,724.06 and 120,589.81

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Solution

The fourth proportional to 210,820.57, 315,724.06 and 120,589.81 is: 180,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,820.57 : 315,724.06 = 120,589.81 : x
  2. Step 2: Convert to fraction form
    210,820.57/315,724.06 = 120,589.81/x
  3. Step 3: Cross multiply
    210,820.57x = 315,724.06 × 120,589.81
  4. Step 4: Simplify right side
    210,820.57x = 38,073,104,407.83
  5. Step 5: Solve for x
    x = 38,073,104,407.83/210,820.57
  6. Step 6: Final answer
    x = 180,594.83

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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.