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Finding the Fourth Proportional to 265,964.64, 367,053.12 and 151,279.20

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Solution

The fourth proportional to 265,964.64, 367,053.12 and 151,279.20 is: 208,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,964.64 : 367,053.12 = 151,279.20 : x
  2. Step 2: Convert to fraction form
    265,964.64/367,053.12 = 151,279.20/x
  3. Step 3: Cross multiply
    265,964.64x = 367,053.12 × 151,279.20
  4. Step 4: Simplify right side
    265,964.64x = 55,527,502,351.10
  5. Step 5: Solve for x
    x = 55,527,502,351.10/265,964.64
  6. Step 6: Final answer
    x = 208,777.76

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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.