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Finding the Fourth Proportional to 216,175.74, 324,108.27 and 102,260.40

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Solution

The fourth proportional to 216,175.74, 324,108.27 and 102,260.40 is: 153,317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,175.74 : 324,108.27 = 102,260.40 : x
  2. Step 2: Convert to fraction form
    216,175.74/324,108.27 = 102,260.40/x
  3. Step 3: Cross multiply
    216,175.74x = 324,108.27 × 102,260.40
  4. Step 4: Simplify right side
    216,175.74x = 33,143,441,333.51
  5. Step 5: Solve for x
    x = 33,143,441,333.51/216,175.74
  6. Step 6: Final answer
    x = 153,317.12

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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.