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Finding the Fourth Proportional to 194,045.56, 290,722.05 and 105,242.42

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Solution

The fourth proportional to 194,045.56, 290,722.05 and 105,242.42 is: 157,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,045.56 : 290,722.05 = 105,242.42 : x
  2. Step 2: Convert to fraction form
    194,045.56/290,722.05 = 105,242.42/x
  3. Step 3: Cross multiply
    194,045.56x = 290,722.05 × 105,242.42
  4. Step 4: Simplify right side
    194,045.56x = 30,596,292,816.17
  5. Step 5: Solve for x
    x = 30,596,292,816.17/194,045.56
  6. Step 6: Final answer
    x = 157,675.82

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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.