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Finding the Fourth Proportional to 293,167.60, 439,823.40 and 82,802.80

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Solution

The fourth proportional to 293,167.60, 439,823.40 and 82,802.80 is: 124,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,167.60 : 439,823.40 = 82,802.80 : x
  2. Step 2: Convert to fraction form
    293,167.60/439,823.40 = 82,802.80/x
  3. Step 3: Cross multiply
    293,167.60x = 439,823.40 × 82,802.80
  4. Step 4: Simplify right side
    293,167.60x = 36,418,609,025.52
  5. Step 5: Solve for x
    x = 36,418,609,025.52/293,167.60
  6. Step 6: Final answer
    x = 124,224.54

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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.