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Finding the Fourth Proportional to 289,080.54, 433,805.90 and 156,053.43

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Solution

The fourth proportional to 289,080.54, 433,805.90 and 156,053.43 is: 234,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,080.54 : 433,805.90 = 156,053.43 : x
  2. Step 2: Convert to fraction form
    289,080.54/433,805.90 = 156,053.43/x
  3. Step 3: Cross multiply
    289,080.54x = 433,805.90 × 156,053.43
  4. Step 4: Simplify right side
    289,080.54x = 67,696,897,868.97
  5. Step 5: Solve for x
    x = 67,696,897,868.97/289,080.54
  6. Step 6: Final answer
    x = 234,180.06

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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.