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Finding the Fourth Proportional to 196,169, 294,254.22 and 48,425

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Solution

The fourth proportional to 196,169, 294,254.22 and 48,425 is: 72,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,169 : 294,254.22 = 48,425 : x
  2. Step 2: Convert to fraction form
    196,169/294,254.22 = 48,425/x
  3. Step 3: Cross multiply
    196,169x = 294,254.22 × 48,425
  4. Step 4: Simplify right side
    196,169x = 14,249,260,603.50
  5. Step 5: Solve for x
    x = 14,249,260,603.50/196,169
  6. Step 6: Final answer
    x = 72,637.68

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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.