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Finding the Fourth Proportional to 211,733.70, 292,175.15 and 116,237.13

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Solution

The fourth proportional to 211,733.70, 292,175.15 and 116,237.13 is: 160,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,733.70 : 292,175.15 = 116,237.13 : x
  2. Step 2: Convert to fraction form
    211,733.70/292,175.15 = 116,237.13/x
  3. Step 3: Cross multiply
    211,733.70x = 292,175.15 × 116,237.13
  4. Step 4: Simplify right side
    211,733.70x = 33,961,600,312.13
  5. Step 5: Solve for x
    x = 33,961,600,312.13/211,733.70
  6. Step 6: Final answer
    x = 160,397.71

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