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Finding the Fourth Proportional to 227,328.50, 341,036.49 and 102,669.50

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Solution

The fourth proportional to 227,328.50, 341,036.49 and 102,669.50 is: 154,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,328.50 : 341,036.49 = 102,669.50 : x
  2. Step 2: Convert to fraction form
    227,328.50/341,036.49 = 102,669.50/x
  3. Step 3: Cross multiply
    227,328.50x = 341,036.49 × 102,669.50
  4. Step 4: Simplify right side
    227,328.50x = 35,014,045,910.06
  5. Step 5: Solve for x
    x = 35,014,045,910.06/227,328.50
  6. Step 6: Final answer
    x = 154,024.00

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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.