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Finding the Fourth Proportional to 189,714.66, 284,965.11 and 150,547.38

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Solution

The fourth proportional to 189,714.66, 284,965.11 and 150,547.38 is: 226,133.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,714.66 : 284,965.11 = 150,547.38 : x
  2. Step 2: Convert to fraction form
    189,714.66/284,965.11 = 150,547.38/x
  3. Step 3: Cross multiply
    189,714.66x = 284,965.11 × 150,547.38
  4. Step 4: Simplify right side
    189,714.66x = 42,900,750,701.91
  5. Step 5: Solve for x
    x = 42,900,750,701.91/189,714.66
  6. Step 6: Final answer
    x = 226,133.03

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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.