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Finding the Fourth Proportional to 196,468.50, 294,702.75 and 71,809.50

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Solution

The fourth proportional to 196,468.50, 294,702.75 and 71,809.50 is: 107,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,468.50 : 294,702.75 = 71,809.50 : x
  2. Step 2: Convert to fraction form
    196,468.50/294,702.75 = 71,809.50/x
  3. Step 3: Cross multiply
    196,468.50x = 294,702.75 × 71,809.50
  4. Step 4: Simplify right side
    196,468.50x = 21,162,457,126.13
  5. Step 5: Solve for x
    x = 21,162,457,126.13/196,468.50
  6. Step 6: Final answer
    x = 107,714.25

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1.5x scale

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.