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Finding the Fourth Proportional to 189,783.72, 261,731.88 and 157,467.15

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Solution

The fourth proportional to 189,783.72, 261,731.88 and 157,467.15 is: 217,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,783.72 : 261,731.88 = 157,467.15 : x
  2. Step 2: Convert to fraction form
    189,783.72/261,731.88 = 157,467.15/x
  3. Step 3: Cross multiply
    189,783.72x = 261,731.88 × 157,467.15
  4. Step 4: Simplify right side
    189,783.72x = 41,214,173,207.74
  5. Step 5: Solve for x
    x = 41,214,173,207.74/189,783.72
  6. Step 6: Final answer
    x = 217,163.90

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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.