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Finding the Fourth Proportional to 196,266.40, 294,097.20 and 146,111.20

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Solution

The fourth proportional to 196,266.40, 294,097.20 and 146,111.20 is: 218,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,266.40 : 294,097.20 = 146,111.20 : x
  2. Step 2: Convert to fraction form
    196,266.40/294,097.20 = 146,111.20/x
  3. Step 3: Cross multiply
    196,266.40x = 294,097.20 × 146,111.20
  4. Step 4: Simplify right side
    196,266.40x = 42,970,894,808.64
  5. Step 5: Solve for x
    x = 42,970,894,808.64/196,266.40
  6. Step 6: Final answer
    x = 218,941.68

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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.