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Finding the Fourth Proportional to 145,780.40, 218,595 and 66,826.64

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Solution

The fourth proportional to 145,780.40, 218,595 and 66,826.64 is: 100,205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,780.40 : 218,595 = 66,826.64 : x
  2. Step 2: Convert to fraction form
    145,780.40/218,595 = 66,826.64/x
  3. Step 3: Cross multiply
    145,780.40x = 218,595 × 66,826.64
  4. Step 4: Simplify right side
    145,780.40x = 14,607,969,370.80
  5. Step 5: Solve for x
    x = 14,607,969,370.80/145,780.40
  6. Step 6: Final answer
    x = 100,205.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.