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Finding the Fourth Proportional to 205,752.24, 308,653.02 and 72,604.98

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Solution

The fourth proportional to 205,752.24, 308,653.02 and 72,604.98 is: 108,916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,752.24 : 308,653.02 = 72,604.98 : x
  2. Step 2: Convert to fraction form
    205,752.24/308,653.02 = 72,604.98/x
  3. Step 3: Cross multiply
    205,752.24x = 308,653.02 × 72,604.98
  4. Step 4: Simplify right side
    205,752.24x = 22,409,746,344.04
  5. Step 5: Solve for x
    x = 22,409,746,344.04/205,752.24
  6. Step 6: Final answer
    x = 108,916.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.