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Finding the Fourth Proportional to 165,059.96, 227,783.68 and 97,079.78

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Solution

The fourth proportional to 165,059.96, 227,783.68 and 97,079.78 is: 133,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,059.96 : 227,783.68 = 97,079.78 : x
  2. Step 2: Convert to fraction form
    165,059.96/227,783.68 = 97,079.78/x
  3. Step 3: Cross multiply
    165,059.96x = 227,783.68 × 97,079.78
  4. Step 4: Simplify right side
    165,059.96x = 22,113,189,868.75
  5. Step 5: Solve for x
    x = 22,113,189,868.75/165,059.96
  6. Step 6: Final answer
    x = 133,970.65

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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.