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Finding the Fourth Proportional to 211,516.76, 291,893.56 and 116,024.24

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Solution

The fourth proportional to 211,516.76, 291,893.56 and 116,024.24 is: 160,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,516.76 : 291,893.56 = 116,024.24 : x
  2. Step 2: Convert to fraction form
    211,516.76/291,893.56 = 116,024.24/x
  3. Step 3: Cross multiply
    211,516.76x = 291,893.56 × 116,024.24
  4. Step 4: Simplify right side
    211,516.76x = 33,866,728,459.89
  5. Step 5: Solve for x
    x = 33,866,728,459.89/211,516.76
  6. Step 6: Final answer
    x = 160,113.69

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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.