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Finding the Fourth Proportional to 196,149, 294,267.24 and 71,490

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Solution

The fourth proportional to 196,149, 294,267.24 and 71,490 is: 107,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,149 : 294,267.24 = 71,490 : x
  2. Step 2: Convert to fraction form
    196,149/294,267.24 = 71,490/x
  3. Step 3: Cross multiply
    196,149x = 294,267.24 × 71,490
  4. Step 4: Simplify right side
    196,149x = 21,037,164,987.60
  5. Step 5: Solve for x
    x = 21,037,164,987.60/196,149
  6. Step 6: Final answer
    x = 107,250.94

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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.