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Finding the Fourth Proportional to 100,527.72, 149,689.70 and 96,935.56

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Solution

The fourth proportional to 100,527.72, 149,689.70 and 96,935.56 is: 144,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,527.72 : 149,689.70 = 96,935.56 : x
  2. Step 2: Convert to fraction form
    100,527.72/149,689.70 = 96,935.56/x
  3. Step 3: Cross multiply
    100,527.72x = 149,689.70 × 96,935.56
  4. Step 4: Simplify right side
    100,527.72x = 14,510,254,895.73
  5. Step 5: Solve for x
    x = 14,510,254,895.73/100,527.72
  6. Step 6: Final answer
    x = 144,340.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.