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Finding the Fourth Proportional to 216,050.40, 323,978.40 and 82,886.40

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Solution

The fourth proportional to 216,050.40, 323,978.40 and 82,886.40 is: 124,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,050.40 : 323,978.40 = 82,886.40 : x
  2. Step 2: Convert to fraction form
    216,050.40/323,978.40 = 82,886.40/x
  3. Step 3: Cross multiply
    216,050.40x = 323,978.40 × 82,886.40
  4. Step 4: Simplify right side
    216,050.40x = 26,853,403,253.76
  5. Step 5: Solve for x
    x = 26,853,403,253.76/216,050.40
  6. Step 6: Final answer
    x = 124,292.31

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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.