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Finding the Fourth Proportional to 189,568.32, 261,604.38 and 103,528.50

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Solution

The fourth proportional to 189,568.32, 261,604.38 and 103,528.50 is: 142,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,568.32 : 261,604.38 = 103,528.50 : x
  2. Step 2: Convert to fraction form
    189,568.32/261,604.38 = 103,528.50/x
  3. Step 3: Cross multiply
    189,568.32x = 261,604.38 × 103,528.50
  4. Step 4: Simplify right side
    189,568.32x = 27,083,509,054.83
  5. Step 5: Solve for x
    x = 27,083,509,054.83/189,568.32
  6. Step 6: Final answer
    x = 142,869.38

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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.