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Finding the Fourth Proportional to 102,506.44, 153,817.07 and 43,386.36

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Solution

The fourth proportional to 102,506.44, 153,817.07 and 43,386.36 is: 65,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,506.44 : 153,817.07 = 43,386.36 : x
  2. Step 2: Convert to fraction form
    102,506.44/153,817.07 = 43,386.36/x
  3. Step 3: Cross multiply
    102,506.44x = 153,817.07 × 43,386.36
  4. Step 4: Simplify right side
    102,506.44x = 6,673,562,773.17
  5. Step 5: Solve for x
    x = 6,673,562,773.17/102,506.44
  6. Step 6: Final answer
    x = 65,103.84

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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.