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Finding the Fourth Proportional to 165,157.64, 227,878.48 and 97,177.60

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Solution

The fourth proportional to 165,157.64, 227,878.48 and 97,177.60 is: 134,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,157.64 : 227,878.48 = 97,177.60 : x
  2. Step 2: Convert to fraction form
    165,157.64/227,878.48 = 97,177.60/x
  3. Step 3: Cross multiply
    165,157.64x = 227,878.48 × 97,177.60
  4. Step 4: Simplify right side
    165,157.64x = 22,144,683,778.05
  5. Step 5: Solve for x
    x = 22,144,683,778.05/165,157.64
  6. Step 6: Final answer
    x = 134,082.10

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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.