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Finding the Fourth Proportional to 211,926.74, 292,289.74 and 139,404.11

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Solution

The fourth proportional to 211,926.74, 292,289.74 and 139,404.11 is: 192,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,926.74 : 292,289.74 = 139,404.11 : x
  2. Step 2: Convert to fraction form
    211,926.74/292,289.74 = 139,404.11/x
  3. Step 3: Cross multiply
    211,926.74x = 292,289.74 × 139,404.11
  4. Step 4: Simplify right side
    211,926.74x = 40,746,389,256.87
  5. Step 5: Solve for x
    x = 40,746,389,256.87/211,926.74
  6. Step 6: Final answer
    x = 192,266.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.