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Finding the Fourth Proportional to 145,821.60, 218,732.40 and 47,325.60

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Solution

The fourth proportional to 145,821.60, 218,732.40 and 47,325.60 is: 70,988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,821.60 : 218,732.40 = 47,325.60 : x
  2. Step 2: Convert to fraction form
    145,821.60/218,732.40 = 47,325.60/x
  3. Step 3: Cross multiply
    145,821.60x = 218,732.40 × 47,325.60
  4. Step 4: Simplify right side
    145,821.60x = 10,351,642,069.44
  5. Step 5: Solve for x
    x = 10,351,642,069.44/145,821.60
  6. Step 6: Final answer
    x = 70,988.40

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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.