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Finding the Fourth Proportional to 194,461.80, 291,644.10 and 74,492.70

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Solution

The fourth proportional to 194,461.80, 291,644.10 and 74,492.70 is: 111,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,461.80 : 291,644.10 = 74,492.70 : x
  2. Step 2: Convert to fraction form
    194,461.80/291,644.10 = 74,492.70/x
  3. Step 3: Cross multiply
    194,461.80x = 291,644.10 × 74,492.70
  4. Step 4: Simplify right side
    194,461.80x = 21,725,356,448.07
  5. Step 5: Solve for x
    x = 21,725,356,448.07/194,461.80
  6. Step 6: Final answer
    x = 111,720.43

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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.