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Finding the Fourth Proportional to 265,121.64, 365,747.00 and 157,630.59

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Solution

The fourth proportional to 265,121.64, 365,747.00 and 157,630.59 is: 217,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,121.64 : 365,747.00 = 157,630.59 : x
  2. Step 2: Convert to fraction form
    265,121.64/365,747.00 = 157,630.59/x
  3. Step 3: Cross multiply
    265,121.64x = 365,747.00 × 157,630.59
  4. Step 4: Simplify right side
    265,121.64x = 57,652,914,612.58
  5. Step 5: Solve for x
    x = 57,652,914,612.58/265,121.64
  6. Step 6: Final answer
    x = 217,458.35

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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.