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Finding the Fourth Proportional to 289,116.83, 433,540.26 and 109,063.52

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Solution

The fourth proportional to 289,116.83, 433,540.26 and 109,063.52 is: 163,544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,116.83 : 433,540.26 = 109,063.52 : x
  2. Step 2: Convert to fraction form
    289,116.83/433,540.26 = 109,063.52/x
  3. Step 3: Cross multiply
    289,116.83x = 433,540.26 × 109,063.52
  4. Step 4: Simplify right side
    289,116.83x = 47,283,424,649.61
  5. Step 5: Solve for x
    x = 47,283,424,649.61/289,116.83
  6. Step 6: Final answer
    x = 163,544.35

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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.