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Finding the Fourth Proportional to 207,253.70, 310,698.30 and 140,477.30

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Solution

The fourth proportional to 207,253.70, 310,698.30 and 140,477.30 is: 210,592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,253.70 : 310,698.30 = 140,477.30 : x
  2. Step 2: Convert to fraction form
    207,253.70/310,698.30 = 140,477.30/x
  3. Step 3: Cross multiply
    207,253.70x = 310,698.30 × 140,477.30
  4. Step 4: Simplify right side
    207,253.70x = 43,646,058,298.59
  5. Step 5: Solve for x
    x = 43,646,058,298.59/207,253.70
  6. Step 6: Final answer
    x = 210,592.42

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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.