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Finding the Fourth Proportional to 238,548.70, 357,767.66 and 70,023.78

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Solution

The fourth proportional to 238,548.70, 357,767.66 and 70,023.78 is: 105,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,548.70 : 357,767.66 = 70,023.78 : x
  2. Step 2: Convert to fraction form
    238,548.70/357,767.66 = 70,023.78/x
  3. Step 3: Cross multiply
    238,548.70x = 357,767.66 × 70,023.78
  4. Step 4: Simplify right side
    238,548.70x = 25,052,243,914.95
  5. Step 5: Solve for x
    x = 25,052,243,914.95/238,548.70
  6. Step 6: Final answer
    x = 105,019.41

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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.