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Finding the Fourth Proportional to 223,124.22, 334,642.59 and 82,854.90

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Solution

The fourth proportional to 223,124.22, 334,642.59 and 82,854.90 is: 124,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,124.22 : 334,642.59 = 82,854.90 : x
  2. Step 2: Convert to fraction form
    223,124.22/334,642.59 = 82,854.90/x
  3. Step 3: Cross multiply
    223,124.22x = 334,642.59 × 82,854.90
  4. Step 4: Simplify right side
    223,124.22x = 27,726,778,330.19
  5. Step 5: Solve for x
    x = 27,726,778,330.19/223,124.22
  6. Step 6: Final answer
    x = 124,266.11

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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.