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Finding the Fourth Proportional to 211,820.52, 292,318.29 and 116,333.36

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Solution

The fourth proportional to 211,820.52, 292,318.29 and 116,333.36 is: 160,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,820.52 : 292,318.29 = 116,333.36 : x
  2. Step 2: Convert to fraction form
    211,820.52/292,318.29 = 116,333.36/x
  3. Step 3: Cross multiply
    211,820.52x = 292,318.29 × 116,333.36
  4. Step 4: Simplify right side
    211,820.52x = 34,006,370,471.23
  5. Step 5: Solve for x
    x = 34,006,370,471.23/211,820.52
  6. Step 6: Final answer
    x = 160,543.33

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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.