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Finding the Fourth Proportional to 260,057.70, 390,216.15 and 147,824.10

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Solution

The fourth proportional to 260,057.70, 390,216.15 and 147,824.10 is: 221,809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,057.70 : 390,216.15 = 147,824.10 : x
  2. Step 2: Convert to fraction form
    260,057.70/390,216.15 = 147,824.10/x
  3. Step 3: Cross multiply
    260,057.70x = 390,216.15 × 147,824.10
  4. Step 4: Simplify right side
    260,057.70x = 57,683,351,179.22
  5. Step 5: Solve for x
    x = 57,683,351,179.22/260,057.70
  6. Step 6: Final answer
    x = 221,809.82

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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.