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Finding the Fourth Proportional to 257,438.10, 386,157.15 and 146,846.10

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Solution

The fourth proportional to 257,438.10, 386,157.15 and 146,846.10 is: 220,269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,438.10 : 386,157.15 = 146,846.10 : x
  2. Step 2: Convert to fraction form
    257,438.10/386,157.15 = 146,846.10/x
  3. Step 3: Cross multiply
    257,438.10x = 386,157.15 × 146,846.10
  4. Step 4: Simplify right side
    257,438.10x = 56,705,671,464.62
  5. Step 5: Solve for x
    x = 56,705,671,464.62/257,438.10
  6. Step 6: Final answer
    x = 220,269.15

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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.