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Finding the Fourth Proportional to 116,128.56, 160,257.30 and 65,827.56

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Solution

The fourth proportional to 116,128.56, 160,257.30 and 65,827.56 is: 90,841.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,128.56 : 160,257.30 = 65,827.56 : x
  2. Step 2: Convert to fraction form
    116,128.56/160,257.30 = 65,827.56/x
  3. Step 3: Cross multiply
    116,128.56x = 160,257.30 × 65,827.56
  4. Step 4: Simplify right side
    116,128.56x = 10,549,347,031.19
  5. Step 5: Solve for x
    x = 10,549,347,031.19/116,128.56
  6. Step 6: Final answer
    x = 90,841.97

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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.