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Finding the Fourth Proportional to 196,028, 270,518.64 and 106,604

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Solution

The fourth proportional to 196,028, 270,518.64 and 106,604 is: 147,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,028 : 270,518.64 = 106,604 : x
  2. Step 2: Convert to fraction form
    196,028/270,518.64 = 106,604/x
  3. Step 3: Cross multiply
    196,028x = 270,518.64 × 106,604
  4. Step 4: Simplify right side
    196,028x = 28,838,369,098.56
  5. Step 5: Solve for x
    x = 28,838,369,098.56/196,028
  6. Step 6: Final answer
    x = 147,113.52

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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.