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Finding the Fourth Proportional to 102,885.52, 142,030.56 and 77,401.62

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Solution

The fourth proportional to 102,885.52, 142,030.56 and 77,401.62 is: 106,850.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,885.52 : 142,030.56 = 77,401.62 : x
  2. Step 2: Convert to fraction form
    102,885.52/142,030.56 = 77,401.62/x
  3. Step 3: Cross multiply
    102,885.52x = 142,030.56 × 77,401.62
  4. Step 4: Simplify right side
    102,885.52x = 10,993,395,433.51
  5. Step 5: Solve for x
    x = 10,993,395,433.51/102,885.52
  6. Step 6: Final answer
    x = 106,850.75

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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.