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Finding the Fourth Proportional to 227,178, 340,810.74 and 102,519

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Solution

The fourth proportional to 227,178, 340,810.74 and 102,519 is: 153,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,178 : 340,810.74 = 102,519 : x
  2. Step 2: Convert to fraction form
    227,178/340,810.74 = 102,519/x
  3. Step 3: Cross multiply
    227,178x = 340,810.74 × 102,519
  4. Step 4: Simplify right side
    227,178x = 34,939,576,254.06
  5. Step 5: Solve for x
    x = 34,939,576,254.06/227,178
  6. Step 6: Final answer
    x = 153,798.24

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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.