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Finding the Fourth Proportional to 180,384.84, 248,895.69 and 99,797.31

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Solution

The fourth proportional to 180,384.84, 248,895.69 and 99,797.31 is: 137,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,384.84 : 248,895.69 = 99,797.31 : x
  2. Step 2: Convert to fraction form
    180,384.84/248,895.69 = 99,797.31/x
  3. Step 3: Cross multiply
    180,384.84x = 248,895.69 × 99,797.31
  4. Step 4: Simplify right side
    180,384.84x = 24,839,120,332.59
  5. Step 5: Solve for x
    x = 24,839,120,332.59/180,384.84
  6. Step 6: Final answer
    x = 137,700.71

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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.