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Finding the Fourth Proportional to 194,442.95, 291,664.44 and 61,333.61

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Solution

The fourth proportional to 194,442.95, 291,664.44 and 61,333.61 is: 92,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,442.95 : 291,664.44 = 61,333.61 : x
  2. Step 2: Convert to fraction form
    194,442.95/291,664.44 = 61,333.61/x
  3. Step 3: Cross multiply
    194,442.95x = 291,664.44 × 61,333.61
  4. Step 4: Simplify right side
    194,442.95x = 17,888,831,555.51
  5. Step 5: Solve for x
    x = 17,888,831,555.51/194,442.95
  6. Step 6: Final answer
    x = 92,000.41

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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.