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Finding the Fourth Proportional to 194,325.78, 291,460.98 and 61,202.58

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Solution

The fourth proportional to 194,325.78, 291,460.98 and 61,202.58 is: 91,795.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,325.78 : 291,460.98 = 61,202.58 : x
  2. Step 2: Convert to fraction form
    194,325.78/291,460.98 = 61,202.58/x
  3. Step 3: Cross multiply
    194,325.78x = 291,460.98 × 61,202.58
  4. Step 4: Simplify right side
    194,325.78x = 17,838,163,945.33
  5. Step 5: Solve for x
    x = 17,838,163,945.33/194,325.78
  6. Step 6: Final answer
    x = 91,795.15

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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.