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Finding the Fourth Proportional to 196,506, 294,759 and 48,762

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Solution

The fourth proportional to 196,506, 294,759 and 48,762 is: 73,143

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,506 : 294,759 = 48,762 : x
  2. Step 2: Convert to fraction form
    196,506/294,759 = 48,762/x
  3. Step 3: Cross multiply
    196,506x = 294,759 × 48,762
  4. Step 4: Simplify right side
    196,506x = 14,373,038,358
  5. Step 5: Solve for x
    x = 14,373,038,358/196,506
  6. Step 6: Final answer
    x = 73,143

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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.