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Finding the Fourth Proportional to 264,590.20, 365,124 and 157,157.40

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Solution

The fourth proportional to 264,590.20, 365,124 and 157,157.40 is: 216,870.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,590.20 : 365,124 = 157,157.40 : x
  2. Step 2: Convert to fraction form
    264,590.20/365,124 = 157,157.40/x
  3. Step 3: Cross multiply
    264,590.20x = 365,124 × 157,157.40
  4. Step 4: Simplify right side
    264,590.20x = 57,381,938,517.60
  5. Step 5: Solve for x
    x = 57,381,938,517.60/264,590.20
  6. Step 6: Final answer
    x = 216,870.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.