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Finding the Fourth Proportional to 264,691.32, 365,232.96 and 157,258.64

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Solution

The fourth proportional to 264,691.32, 365,232.96 and 157,258.64 is: 216,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,691.32 : 365,232.96 = 157,258.64 : x
  2. Step 2: Convert to fraction form
    264,691.32/365,232.96 = 157,258.64/x
  3. Step 3: Cross multiply
    264,691.32x = 365,232.96 × 157,258.64
  4. Step 4: Simplify right side
    264,691.32x = 57,436,038,572.77
  5. Step 5: Solve for x
    x = 57,436,038,572.77/264,691.32
  6. Step 6: Final answer
    x = 216,992.53

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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.