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Finding the Fourth Proportional to 116,205.63, 160,363.76 and 65,904.63

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Solution

The fourth proportional to 116,205.63, 160,363.76 and 65,904.63 is: 90,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,205.63 : 160,363.76 = 65,904.63 : x
  2. Step 2: Convert to fraction form
    116,205.63/160,363.76 = 65,904.63/x
  3. Step 3: Cross multiply
    116,205.63x = 160,363.76 × 65,904.63
  4. Step 4: Simplify right side
    116,205.63x = 10,568,714,268.21
  5. Step 5: Solve for x
    x = 10,568,714,268.21/116,205.63
  6. Step 6: Final answer
    x = 90,948.38

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1.5x scale

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.