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Finding the Fourth Proportional to 223,172.92, 334,714.63 and 109,271.66

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Solution

The fourth proportional to 223,172.92, 334,714.63 and 109,271.66 is: 163,885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,172.92 : 334,714.63 = 109,271.66 : x
  2. Step 2: Convert to fraction form
    223,172.92/334,714.63 = 109,271.66/x
  3. Step 3: Cross multiply
    223,172.92x = 334,714.63 × 109,271.66
  4. Step 4: Simplify right side
    223,172.92x = 36,574,821,581.44
  5. Step 5: Solve for x
    x = 36,574,821,581.44/223,172.92
  6. Step 6: Final answer
    x = 163,885.57

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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.