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Finding the Fourth Proportional to 150,416.64, 225,521.28 and 71,464.32

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Solution

The fourth proportional to 150,416.64, 225,521.28 and 71,464.32 is: 107,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,416.64 : 225,521.28 = 71,464.32 : x
  2. Step 2: Convert to fraction form
    150,416.64/225,521.28 = 71,464.32/x
  3. Step 3: Cross multiply
    150,416.64x = 225,521.28 × 71,464.32
  4. Step 4: Simplify right side
    150,416.64x = 16,116,724,920.73
  5. Step 5: Solve for x
    x = 16,116,724,920.73/150,416.64
  6. Step 6: Final answer
    x = 107,147.22

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1.5x scale

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.