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Finding the Fourth Proportional to 144,960.84, 200,048.08 and 108,597.86

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Solution

The fourth proportional to 144,960.84, 200,048.08 and 108,597.86 is: 149,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,960.84 : 200,048.08 = 108,597.86 : x
  2. Step 2: Convert to fraction form
    144,960.84/200,048.08 = 108,597.86/x
  3. Step 3: Cross multiply
    144,960.84x = 200,048.08 × 108,597.86
  4. Step 4: Simplify right side
    144,960.84x = 21,724,794,192.45
  5. Step 5: Solve for x
    x = 21,724,794,192.45/144,960.84
  6. Step 6: Final answer
    x = 149,866.64

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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.