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Finding the Fourth Proportional to 107,106.94, 147,811.50 and 64,657.26

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Solution

The fourth proportional to 107,106.94, 147,811.50 and 64,657.26 is: 89,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,106.94 : 147,811.50 = 64,657.26 : x
  2. Step 2: Convert to fraction form
    107,106.94/147,811.50 = 64,657.26/x
  3. Step 3: Cross multiply
    107,106.94x = 147,811.50 × 64,657.26
  4. Step 4: Simplify right side
    107,106.94x = 9,557,086,586.49
  5. Step 5: Solve for x
    x = 9,557,086,586.49/107,106.94
  6. Step 6: Final answer
    x = 89,229.39

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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.