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Finding the Fourth Proportional to 196,061, 294,091.50 and 48,317

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Solution

The fourth proportional to 196,061, 294,091.50 and 48,317 is: 72,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,061 : 294,091.50 = 48,317 : x
  2. Step 2: Convert to fraction form
    196,061/294,091.50 = 48,317/x
  3. Step 3: Cross multiply
    196,061x = 294,091.50 × 48,317
  4. Step 4: Simplify right side
    196,061x = 14,209,619,005.50
  5. Step 5: Solve for x
    x = 14,209,619,005.50/196,061
  6. Step 6: Final answer
    x = 72,475.50

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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.