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Finding the Fourth Proportional to 130,181.80, 194,840.70 and 94,541.80

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Solution

The fourth proportional to 130,181.80, 194,840.70 and 94,541.80 is: 141,498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,181.80 : 194,840.70 = 94,541.80 : x
  2. Step 2: Convert to fraction form
    130,181.80/194,840.70 = 94,541.80/x
  3. Step 3: Cross multiply
    130,181.80x = 194,840.70 × 94,541.80
  4. Step 4: Simplify right side
    130,181.80x = 18,420,590,491.26
  5. Step 5: Solve for x
    x = 18,420,590,491.26/130,181.80
  6. Step 6: Final answer
    x = 141,498.97

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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.