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Finding the Fourth Proportional to 196,871.40, 295,296.78 and 56,624.52

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Solution

The fourth proportional to 196,871.40, 295,296.78 and 56,624.52 is: 84,933.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,871.40 : 295,296.78 = 56,624.52 : x
  2. Step 2: Convert to fraction form
    196,871.40/295,296.78 = 56,624.52/x
  3. Step 3: Cross multiply
    196,871.40x = 295,296.78 × 56,624.52
  4. Step 4: Simplify right side
    196,871.40x = 16,721,038,425.05
  5. Step 5: Solve for x
    x = 16,721,038,425.05/196,871.40
  6. Step 6: Final answer
    x = 84,933.81

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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.