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Finding the Fourth Proportional to 196,385.40, 294,578.10 and 48,641.40

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Solution

The fourth proportional to 196,385.40, 294,578.10 and 48,641.40 is: 72,962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,385.40 : 294,578.10 = 48,641.40 : x
  2. Step 2: Convert to fraction form
    196,385.40/294,578.10 = 48,641.40/x
  3. Step 3: Cross multiply
    196,385.40x = 294,578.10 × 48,641.40
  4. Step 4: Simplify right side
    196,385.40x = 14,328,691,193.34
  5. Step 5: Solve for x
    x = 14,328,691,193.34/196,385.40
  6. Step 6: Final answer
    x = 72,962.10

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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.