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Finding the Fourth Proportional to 238,002.49, 357,015.62 and 78,064.24

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Solution

The fourth proportional to 238,002.49, 357,015.62 and 78,064.24 is: 117,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,002.49 : 357,015.62 = 78,064.24 : x
  2. Step 2: Convert to fraction form
    238,002.49/357,015.62 = 78,064.24/x
  3. Step 3: Cross multiply
    238,002.49x = 357,015.62 × 78,064.24
  4. Step 4: Simplify right side
    238,002.49x = 27,870,153,043.43
  5. Step 5: Solve for x
    x = 27,870,153,043.43/238,002.49
  6. Step 6: Final answer
    x = 117,100.26

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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.