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Finding the Fourth Proportional to 196,602.78, 294,904.17 and 48,858.78

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Solution

The fourth proportional to 196,602.78, 294,904.17 and 48,858.78 is: 73,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,602.78 : 294,904.17 = 48,858.78 : x
  2. Step 2: Convert to fraction form
    196,602.78/294,904.17 = 48,858.78/x
  3. Step 3: Cross multiply
    196,602.78x = 294,904.17 × 48,858.78
  4. Step 4: Simplify right side
    196,602.78x = 14,408,657,963.11
  5. Step 5: Solve for x
    x = 14,408,657,963.11/196,602.78
  6. Step 6: Final answer
    x = 73,288.17

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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.