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Finding the Fourth Proportional to 116,530.10, 160,811.32 and 65,542.02

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Solution

The fourth proportional to 116,530.10, 160,811.32 and 65,542.02 is: 90,447.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,530.10 : 160,811.32 = 65,542.02 : x
  2. Step 2: Convert to fraction form
    116,530.10/160,811.32 = 65,542.02/x
  3. Step 3: Cross multiply
    116,530.10x = 160,811.32 × 65,542.02
  4. Step 4: Simplify right side
    116,530.10x = 10,539,898,751.67
  5. Step 5: Solve for x
    x = 10,539,898,751.67/116,530.10
  6. Step 6: Final answer
    x = 90,447.86

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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.