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Finding the Fourth Proportional to 265,578.78, 398,366.82 and 153,186.18

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Solution

The fourth proportional to 265,578.78, 398,366.82 and 153,186.18 is: 229,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,578.78 : 398,366.82 = 153,186.18 : x
  2. Step 2: Convert to fraction form
    265,578.78/398,366.82 = 153,186.18/x
  3. Step 3: Cross multiply
    265,578.78x = 398,366.82 × 153,186.18
  4. Step 4: Simplify right side
    265,578.78x = 61,024,291,394.55
  5. Step 5: Solve for x
    x = 61,024,291,394.55/265,578.78
  6. Step 6: Final answer
    x = 229,778.49

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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.