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Finding the Fourth Proportional to 283,092.76, 390,684.54 and 162,271.48

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Solution

The fourth proportional to 283,092.76, 390,684.54 and 162,271.48 is: 223,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,092.76 : 390,684.54 = 162,271.48 : x
  2. Step 2: Convert to fraction form
    283,092.76/390,684.54 = 162,271.48/x
  3. Step 3: Cross multiply
    283,092.76x = 390,684.54 × 162,271.48
  4. Step 4: Simplify right side
    283,092.76x = 63,396,958,518.92
  5. Step 5: Solve for x
    x = 63,396,958,518.92/283,092.76
  6. Step 6: Final answer
    x = 223,944.12

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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.