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Finding the Fourth Proportional to 102,447, 141,377.94 and 57,735

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Solution

The fourth proportional to 102,447, 141,377.94 and 57,735 is: 79,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,447 : 141,377.94 = 57,735 : x
  2. Step 2: Convert to fraction form
    102,447/141,377.94 = 57,735/x
  3. Step 3: Cross multiply
    102,447x = 141,377.94 × 57,735
  4. Step 4: Simplify right side
    102,447x = 8,162,455,365.90
  5. Step 5: Solve for x
    x = 8,162,455,365.90/102,447
  6. Step 6: Final answer
    x = 79,674.91

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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.