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Finding the Fourth Proportional to 310,843.68, 466,208.64 and 83,142.24

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Solution

The fourth proportional to 310,843.68, 466,208.64 and 83,142.24 is: 124,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,843.68 : 466,208.64 = 83,142.24 : x
  2. Step 2: Convert to fraction form
    310,843.68/466,208.64 = 83,142.24/x
  3. Step 3: Cross multiply
    310,843.68x = 466,208.64 × 83,142.24
  4. Step 4: Simplify right side
    310,843.68x = 38,761,630,636.95
  5. Step 5: Solve for x
    x = 38,761,630,636.95/310,843.68
  6. Step 6: Final answer
    x = 124,698.15

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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.