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Finding the Fourth Proportional to 196,565.76, 294,858.72 and 56,325.60

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Solution

The fourth proportional to 196,565.76, 294,858.72 and 56,325.60 is: 84,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,565.76 : 294,858.72 = 56,325.60 : x
  2. Step 2: Convert to fraction form
    196,565.76/294,858.72 = 56,325.60/x
  3. Step 3: Cross multiply
    196,565.76x = 294,858.72 × 56,325.60
  4. Step 4: Simplify right side
    196,565.76x = 16,608,094,319.23
  5. Step 5: Solve for x
    x = 16,608,094,319.23/196,565.76
  6. Step 6: Final answer
    x = 84,491.29

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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.