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Finding the Fourth Proportional to 102,541.64, 153,828.86 and 43,394.22

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Solution

The fourth proportional to 102,541.64, 153,828.86 and 43,394.22 is: 65,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,541.64 : 153,828.86 = 43,394.22 : x
  2. Step 2: Convert to fraction form
    102,541.64/153,828.86 = 43,394.22/x
  3. Step 3: Cross multiply
    102,541.64x = 153,828.86 × 43,394.22
  4. Step 4: Simplify right side
    102,541.64x = 6,675,283,176.22
  5. Step 5: Solve for x
    x = 6,675,283,176.22/102,541.64
  6. Step 6: Final answer
    x = 65,098.27

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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.