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Finding the Fourth Proportional to 212,882.10, 319,230.40 and 61,045.67

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Solution

The fourth proportional to 212,882.10, 319,230.40 and 61,045.67 is: 91,541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,882.10 : 319,230.40 = 61,045.67 : x
  2. Step 2: Convert to fraction form
    212,882.10/319,230.40 = 61,045.67/x
  3. Step 3: Cross multiply
    212,882.10x = 319,230.40 × 61,045.67
  4. Step 4: Simplify right side
    212,882.10x = 19,487,633,652.37
  5. Step 5: Solve for x
    x = 19,487,633,652.37/212,882.10
  6. Step 6: Final answer
    x = 91,541.91

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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.