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Finding the Fourth Proportional to 365,948.87, 548,607.41 and 141,466.55

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Solution

The fourth proportional to 365,948.87, 548,607.41 and 141,466.55 is: 212,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,948.87 : 548,607.41 = 141,466.55 : x
  2. Step 2: Convert to fraction form
    365,948.87/548,607.41 = 141,466.55/x
  3. Step 3: Cross multiply
    365,948.87x = 548,607.41 × 141,466.55
  4. Step 4: Simplify right side
    365,948.87x = 77,609,596,889.80
  5. Step 5: Solve for x
    x = 77,609,596,889.80/365,948.87
  6. Step 6: Final answer
    x = 212,077.71

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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.