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Finding the Fourth Proportional to 102,771.77, 141,847.92 and 62,477

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Solution

The fourth proportional to 102,771.77, 141,847.92 and 62,477 is: 86,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,771.77 : 141,847.92 = 62,477 : x
  2. Step 2: Convert to fraction form
    102,771.77/141,847.92 = 62,477/x
  3. Step 3: Cross multiply
    102,771.77x = 141,847.92 × 62,477
  4. Step 4: Simplify right side
    102,771.77x = 8,862,232,497.84
  5. Step 5: Solve for x
    x = 8,862,232,497.84/102,771.77
  6. Step 6: Final answer
    x = 86,232.17

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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.