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Finding the Fourth Proportional to 211,686.59, 292,131 and 116,202.17

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Solution

The fourth proportional to 211,686.59, 292,131 and 116,202.17 is: 160,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,686.59 : 292,131 = 116,202.17 : x
  2. Step 2: Convert to fraction form
    211,686.59/292,131 = 116,202.17/x
  3. Step 3: Cross multiply
    211,686.59x = 292,131 × 116,202.17
  4. Step 4: Simplify right side
    211,686.59x = 33,946,254,663.62
  5. Step 5: Solve for x
    x = 33,946,254,663.62/211,686.59
  6. Step 6: Final answer
    x = 160,360.92

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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.