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Finding the Fourth Proportional to 140,880, 211,332.30 and 35,698.97

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Solution

The fourth proportional to 140,880, 211,332.30 and 35,698.97 is: 53,551.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,880 : 211,332.30 = 35,698.97 : x
  2. Step 2: Convert to fraction form
    140,880/211,332.30 = 35,698.97/x
  3. Step 3: Cross multiply
    140,880x = 211,332.30 × 35,698.97
  4. Step 4: Simplify right side
    140,880x = 7,544,345,966.06
  5. Step 5: Solve for x
    x = 7,544,345,966.06/140,880
  6. Step 6: Final answer
    x = 53,551.58

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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.