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Finding the Fourth Proportional to 189,532.32, 261,444.96 and 122,464.32

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Solution

The fourth proportional to 189,532.32, 261,444.96 and 122,464.32 is: 168,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,532.32 : 261,444.96 = 122,464.32 : x
  2. Step 2: Convert to fraction form
    189,532.32/261,444.96 = 122,464.32/x
  3. Step 3: Cross multiply
    189,532.32x = 261,444.96 × 122,464.32
  4. Step 4: Simplify right side
    189,532.32x = 32,017,679,243.83
  5. Step 5: Solve for x
    x = 32,017,679,243.83/189,532.32
  6. Step 6: Final answer
    x = 168,929.92

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1.5x scale

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.