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Finding the Fourth Proportional to 182,274.20, 273,411.30 and 149,031.80

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Solution

The fourth proportional to 182,274.20, 273,411.30 and 149,031.80 is: 223,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,274.20 : 273,411.30 = 149,031.80 : x
  2. Step 2: Convert to fraction form
    182,274.20/273,411.30 = 149,031.80/x
  3. Step 3: Cross multiply
    182,274.20x = 273,411.30 × 149,031.80
  4. Step 4: Simplify right side
    182,274.20x = 40,746,978,179.34
  5. Step 5: Solve for x
    x = 40,746,978,179.34/182,274.20
  6. Step 6: Final answer
    x = 223,547.70

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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.