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Finding the Fourth Proportional to 270,656.92, 406,024.28 and 83,683

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Solution

The fourth proportional to 270,656.92, 406,024.28 and 83,683 is: 125,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,656.92 : 406,024.28 = 83,683 : x
  2. Step 2: Convert to fraction form
    270,656.92/406,024.28 = 83,683/x
  3. Step 3: Cross multiply
    270,656.92x = 406,024.28 × 83,683
  4. Step 4: Simplify right side
    270,656.92x = 33,977,329,823.24
  5. Step 5: Solve for x
    x = 33,977,329,823.24/270,656.92
  6. Step 6: Final answer
    x = 125,536.53

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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.