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Finding the Fourth Proportional to 196,311.87, 294,464.57 and 48,567.87

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Solution

The fourth proportional to 196,311.87, 294,464.57 and 48,567.87 is: 72,851.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,311.87 : 294,464.57 = 48,567.87 : x
  2. Step 2: Convert to fraction form
    196,311.87/294,464.57 = 48,567.87/x
  3. Step 3: Cross multiply
    196,311.87x = 294,464.57 × 48,567.87
  4. Step 4: Simplify right side
    196,311.87x = 14,301,516,712.53
  5. Step 5: Solve for x
    x = 14,301,516,712.53/196,311.87
  6. Step 6: Final answer
    x = 72,851.00

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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.