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Finding the Fourth Proportional to 196,207.40, 294,311.10 and 48,463.40

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Solution

The fourth proportional to 196,207.40, 294,311.10 and 48,463.40 is: 72,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,207.40 : 294,311.10 = 48,463.40 : x
  2. Step 2: Convert to fraction form
    196,207.40/294,311.10 = 48,463.40/x
  3. Step 3: Cross multiply
    196,207.40x = 294,311.10 × 48,463.40
  4. Step 4: Simplify right side
    196,207.40x = 14,263,316,563.74
  5. Step 5: Solve for x
    x = 14,263,316,563.74/196,207.40
  6. Step 6: Final answer
    x = 72,695.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.