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Finding the Fourth Proportional to 210,851.46, 290,946.30 and 125,950.50

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Solution

The fourth proportional to 210,851.46, 290,946.30 and 125,950.50 is: 173,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,851.46 : 290,946.30 = 125,950.50 : x
  2. Step 2: Convert to fraction form
    210,851.46/290,946.30 = 125,950.50/x
  3. Step 3: Cross multiply
    210,851.46x = 290,946.30 × 125,950.50
  4. Step 4: Simplify right side
    210,851.46x = 36,644,831,958.15
  5. Step 5: Solve for x
    x = 36,644,831,958.15/210,851.46
  6. Step 6: Final answer
    x = 173,794.54

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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.