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Finding the Fourth Proportional to 100,527.48, 149,689.35 and 96,935.31

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Solution

The fourth proportional to 100,527.48, 149,689.35 and 96,935.31 is: 144,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,527.48 : 149,689.35 = 96,935.31 : x
  2. Step 2: Convert to fraction form
    100,527.48/149,689.35 = 96,935.31/x
  3. Step 3: Cross multiply
    100,527.48x = 149,689.35 × 96,935.31
  4. Step 4: Simplify right side
    100,527.48x = 14,510,183,545.95
  5. Step 5: Solve for x
    x = 14,510,183,545.95/100,527.48
  6. Step 6: Final answer
    x = 144,340.47

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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.