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Finding the Fourth Proportional to 238,298.34, 357,498.94 and 80,523.30

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Solution

The fourth proportional to 238,298.34, 357,498.94 and 80,523.30 is: 120,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,298.34 : 357,498.94 = 80,523.30 : x
  2. Step 2: Convert to fraction form
    238,298.34/357,498.94 = 80,523.30/x
  3. Step 3: Cross multiply
    238,298.34x = 357,498.94 × 80,523.30
  4. Step 4: Simplify right side
    238,298.34x = 28,786,994,395.30
  5. Step 5: Solve for x
    x = 28,786,994,395.30/238,298.34
  6. Step 6: Final answer
    x = 120,802.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.