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Finding the Fourth Proportional to 190,597.88, 285,823.87 and 64,204.16

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Solution

The fourth proportional to 190,597.88, 285,823.87 and 64,204.16 is: 96,281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,597.88 : 285,823.87 = 64,204.16 : x
  2. Step 2: Convert to fraction form
    190,597.88/285,823.87 = 64,204.16/x
  3. Step 3: Cross multiply
    190,597.88x = 285,823.87 × 64,204.16
  4. Step 4: Simplify right side
    190,597.88x = 18,351,082,035.35
  5. Step 5: Solve for x
    x = 18,351,082,035.35/190,597.88
  6. Step 6: Final answer
    x = 96,281.67

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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.