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Finding the Fourth Proportional to 196,031.52, 270,409.32 and 142,254

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Solution

The fourth proportional to 196,031.52, 270,409.32 and 142,254 is: 196,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,031.52 : 270,409.32 = 142,254 : x
  2. Step 2: Convert to fraction form
    196,031.52/270,409.32 = 142,254/x
  3. Step 3: Cross multiply
    196,031.52x = 270,409.32 × 142,254
  4. Step 4: Simplify right side
    196,031.52x = 38,466,807,407.28
  5. Step 5: Solve for x
    x = 38,466,807,407.28/196,031.52
  6. Step 6: Final answer
    x = 196,227.66

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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.