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Finding the Fourth Proportional to 196,368, 270,987.84 and 106,944

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Solution

The fourth proportional to 196,368, 270,987.84 and 106,944 is: 147,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,368 : 270,987.84 = 106,944 : x
  2. Step 2: Convert to fraction form
    196,368/270,987.84 = 106,944/x
  3. Step 3: Cross multiply
    196,368x = 270,987.84 × 106,944
  4. Step 4: Simplify right side
    196,368x = 28,980,523,560.96
  5. Step 5: Solve for x
    x = 28,980,523,560.96/196,368
  6. Step 6: Final answer
    x = 147,582.72

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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.