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Finding the Fourth Proportional to 145,762.80, 218,644.20 and 47,266.80

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Solution

The fourth proportional to 145,762.80, 218,644.20 and 47,266.80 is: 70,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,762.80 : 218,644.20 = 47,266.80 : x
  2. Step 2: Convert to fraction form
    145,762.80/218,644.20 = 47,266.80/x
  3. Step 3: Cross multiply
    145,762.80x = 218,644.20 × 47,266.80
  4. Step 4: Simplify right side
    145,762.80x = 10,334,611,672.56
  5. Step 5: Solve for x
    x = 10,334,611,672.56/145,762.80
  6. Step 6: Final answer
    x = 70,900.20

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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.