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Finding the Fourth Proportional to 196,628, 294,943.12 and 48,884

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Solution

The fourth proportional to 196,628, 294,943.12 and 48,884 is: 73,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,628 : 294,943.12 = 48,884 : x
  2. Step 2: Convert to fraction form
    196,628/294,943.12 = 48,884/x
  3. Step 3: Cross multiply
    196,628x = 294,943.12 × 48,884
  4. Step 4: Simplify right side
    196,628x = 14,417,999,478.08
  5. Step 5: Solve for x
    x = 14,417,999,478.08/196,628
  6. Step 6: Final answer
    x = 73,326.28

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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.