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Finding the Fourth Proportional to 102,522.40, 141,270.96 and 75,622.36

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Solution

The fourth proportional to 102,522.40, 141,270.96 and 75,622.36 is: 104,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,522.40 : 141,270.96 = 75,622.36 : x
  2. Step 2: Convert to fraction form
    102,522.40/141,270.96 = 75,622.36/x
  3. Step 3: Cross multiply
    102,522.40x = 141,270.96 × 75,622.36
  4. Step 4: Simplify right side
    102,522.40x = 10,683,243,394.67
  5. Step 5: Solve for x
    x = 10,683,243,394.67/102,522.40
  6. Step 6: Final answer
    x = 104,203.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.