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Finding the Fourth Proportional to 211,191.07, 316,827.96 and 92,862.07

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Solution

The fourth proportional to 211,191.07, 316,827.96 and 92,862.07 is: 139,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,191.07 : 316,827.96 = 92,862.07 : x
  2. Step 2: Convert to fraction form
    211,191.07/316,827.96 = 92,862.07/x
  3. Step 3: Cross multiply
    211,191.07x = 316,827.96 × 92,862.07
  4. Step 4: Simplify right side
    211,191.07x = 29,421,299,950.25
  5. Step 5: Solve for x
    x = 29,421,299,950.25/211,191.07
  6. Step 6: Final answer
    x = 139,311.29

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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.