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Finding the Fourth Proportional to 189,254.82, 283,871.07 and 70,916.25

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Solution

The fourth proportional to 189,254.82, 283,871.07 and 70,916.25 is: 106,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,254.82 : 283,871.07 = 70,916.25 : x
  2. Step 2: Convert to fraction form
    189,254.82/283,871.07 = 70,916.25/x
  3. Step 3: Cross multiply
    189,254.82x = 283,871.07 × 70,916.25
  4. Step 4: Simplify right side
    189,254.82x = 20,131,071,767.89
  5. Step 5: Solve for x
    x = 20,131,071,767.89/189,254.82
  6. Step 6: Final answer
    x = 106,370.19

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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.