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Finding the Fourth Proportional to 265,344.64, 397,602.24 and 153,093.76

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Solution

The fourth proportional to 265,344.64, 397,602.24 and 153,093.76 is: 229,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,344.64 : 397,602.24 = 153,093.76 : x
  2. Step 2: Convert to fraction form
    265,344.64/397,602.24 = 153,093.76/x
  3. Step 3: Cross multiply
    265,344.64x = 397,602.24 × 153,093.76
  4. Step 4: Simplify right side
    265,344.64x = 60,870,421,906.02
  5. Step 5: Solve for x
    x = 60,870,421,906.02/265,344.64
  6. Step 6: Final answer
    x = 229,401.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.