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Finding the Fourth Proportional to 189,355.51, 284,013.82 and 100,514.71

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Solution

The fourth proportional to 189,355.51, 284,013.82 and 100,514.71 is: 150,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,355.51 : 284,013.82 = 100,514.71 : x
  2. Step 2: Convert to fraction form
    189,355.51/284,013.82 = 100,514.71/x
  3. Step 3: Cross multiply
    189,355.51x = 284,013.82 × 100,514.71
  4. Step 4: Simplify right side
    189,355.51x = 28,547,566,753.29
  5. Step 5: Solve for x
    x = 28,547,566,753.29/189,355.51
  6. Step 6: Final answer
    x = 150,761.74

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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.