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Finding the Fourth Proportional to 102,045.57, 140,824.58 and 56,107.16

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Solution

The fourth proportional to 102,045.57, 140,824.58 and 56,107.16 is: 77,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,045.57 : 140,824.58 = 56,107.16 : x
  2. Step 2: Convert to fraction form
    102,045.57/140,824.58 = 56,107.16/x
  3. Step 3: Cross multiply
    102,045.57x = 140,824.58 × 56,107.16
  4. Step 4: Simplify right side
    102,045.57x = 7,901,267,241.99
  5. Step 5: Solve for x
    x = 7,901,267,241.99/102,045.57
  6. Step 6: Final answer
    x = 77,428.81

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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.