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Finding the Fourth Proportional to 210,052.90, 314,797.89 and 196,600.77

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Solution

The fourth proportional to 210,052.90, 314,797.89 and 196,600.77 is: 294,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,052.90 : 314,797.89 = 196,600.77 : x
  2. Step 2: Convert to fraction form
    210,052.90/314,797.89 = 196,600.77/x
  3. Step 3: Cross multiply
    210,052.90x = 314,797.89 × 196,600.77
  4. Step 4: Simplify right side
    210,052.90x = 61,889,508,305.63
  5. Step 5: Solve for x
    x = 61,889,508,305.63/210,052.90
  6. Step 6: Final answer
    x = 294,637.73

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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.