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Finding the Fourth Proportional to 102,361.74, 141,263.55 and 57,039.77

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Solution

The fourth proportional to 102,361.74, 141,263.55 and 57,039.77 is: 78,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,361.74 : 141,263.55 = 57,039.77 : x
  2. Step 2: Convert to fraction form
    102,361.74/141,263.55 = 57,039.77/x
  3. Step 3: Cross multiply
    102,361.74x = 141,263.55 × 57,039.77
  4. Step 4: Simplify right side
    102,361.74x = 8,057,639,695.07
  5. Step 5: Solve for x
    x = 8,057,639,695.07/102,361.74
  6. Step 6: Final answer
    x = 78,717.30

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Why These Related Problems?

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