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Finding the Fourth Proportional to 96,313.97, 132,904.23 and 65,205.93

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Solution

The fourth proportional to 96,313.97, 132,904.23 and 65,205.93 is: 89,978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,313.97 : 132,904.23 = 65,205.93 : x
  2. Step 2: Convert to fraction form
    96,313.97/132,904.23 = 65,205.93/x
  3. Step 3: Cross multiply
    96,313.97x = 132,904.23 × 65,205.93
  4. Step 4: Simplify right side
    96,313.97x = 8,666,144,171.95
  5. Step 5: Solve for x
    x = 8,666,144,171.95/96,313.97
  6. Step 6: Final answer
    x = 89,978.06

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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.