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Finding the Fourth Proportional to 116,506.89, 160,785.36 and 65,535.66

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Solution

The fourth proportional to 116,506.89, 160,785.36 and 65,535.66 is: 90,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,506.89 : 160,785.36 = 65,535.66 : x
  2. Step 2: Convert to fraction form
    116,506.89/160,785.36 = 65,535.66/x
  3. Step 3: Cross multiply
    116,506.89x = 160,785.36 × 65,535.66
  4. Step 4: Simplify right side
    116,506.89x = 10,537,174,685.94
  5. Step 5: Solve for x
    x = 10,537,174,685.94/116,506.89
  6. Step 6: Final answer
    x = 90,442.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.