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Finding the Fourth Proportional to 211,162.29, 316,774.32 and 61,383.12

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Solution

The fourth proportional to 211,162.29, 316,774.32 and 61,383.12 is: 92,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,162.29 : 316,774.32 = 61,383.12 : x
  2. Step 2: Convert to fraction form
    211,162.29/316,774.32 = 61,383.12/x
  3. Step 3: Cross multiply
    211,162.29x = 316,774.32 × 61,383.12
  4. Step 4: Simplify right side
    211,162.29x = 19,444,596,097.48
  5. Step 5: Solve for x
    x = 19,444,596,097.48/211,162.29
  6. Step 6: Final answer
    x = 92,083.66

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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.