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Finding the Fourth Proportional to 102,804.49, 154,207.19 and 36,208.52

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Solution

The fourth proportional to 102,804.49, 154,207.19 and 36,208.52 is: 54,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,804.49 : 154,207.19 = 36,208.52 : x
  2. Step 2: Convert to fraction form
    102,804.49/154,207.19 = 36,208.52/x
  3. Step 3: Cross multiply
    102,804.49x = 154,207.19 × 36,208.52
  4. Step 4: Simplify right side
    102,804.49x = 5,583,614,021.02
  5. Step 5: Solve for x
    x = 5,583,614,021.02/102,804.49
  6. Step 6: Final answer
    x = 54,312.94

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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.