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Finding the Fourth Proportional to 211,830.84, 292,327.92 and 116,336.70

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Solution

The fourth proportional to 211,830.84, 292,327.92 and 116,336.70 is: 160,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,830.84 : 292,327.92 = 116,336.70 : x
  2. Step 2: Convert to fraction form
    211,830.84/292,327.92 = 116,336.70/x
  3. Step 3: Cross multiply
    211,830.84x = 292,327.92 × 116,336.70
  4. Step 4: Simplify right side
    211,830.84x = 34,008,465,530.66
  5. Step 5: Solve for x
    x = 34,008,465,530.66/211,830.84
  6. Step 6: Final answer
    x = 160,545.39

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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.