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Finding the Fourth Proportional to 265,215.76, 365,965.32 and 157,790.32

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Solution

The fourth proportional to 265,215.76, 365,965.32 and 157,790.32 is: 217,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,215.76 : 365,965.32 = 157,790.32 : x
  2. Step 2: Convert to fraction form
    265,215.76/365,965.32 = 157,790.32/x
  3. Step 3: Cross multiply
    265,215.76x = 365,965.32 × 157,790.32
  4. Step 4: Simplify right side
    265,215.76x = 57,745,784,951.70
  5. Step 5: Solve for x
    x = 57,745,784,951.70/265,215.76
  6. Step 6: Final answer
    x = 217,731.35

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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.