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Finding the Fourth Proportional to 211,604.47, 292,002.57 and 116,103.66

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Solution

The fourth proportional to 211,604.47, 292,002.57 and 116,103.66 is: 160,216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,604.47 : 292,002.57 = 116,103.66 : x
  2. Step 2: Convert to fraction form
    211,604.47/292,002.57 = 116,103.66/x
  3. Step 3: Cross multiply
    211,604.47x = 292,002.57 × 116,103.66
  4. Step 4: Simplify right side
    211,604.47x = 33,902,567,106.41
  5. Step 5: Solve for x
    x = 33,902,567,106.41/211,604.47
  6. Step 6: Final answer
    x = 160,216.69

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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.