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Finding the Fourth Proportional to 235,738.40, 353,607.60 and 189,082.40

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Solution

The fourth proportional to 235,738.40, 353,607.60 and 189,082.40 is: 283,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,738.40 : 353,607.60 = 189,082.40 : x
  2. Step 2: Convert to fraction form
    235,738.40/353,607.60 = 189,082.40/x
  3. Step 3: Cross multiply
    235,738.40x = 353,607.60 × 189,082.40
  4. Step 4: Simplify right side
    235,738.40x = 66,860,973,666.24
  5. Step 5: Solve for x
    x = 66,860,973,666.24/235,738.40
  6. Step 6: Final answer
    x = 283,623.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.