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Finding the Fourth Proportional to 103,202.64, 154,804.10 and 28,323.81

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Solution

The fourth proportional to 103,202.64, 154,804.10 and 28,323.81 is: 42,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,202.64 : 154,804.10 = 28,323.81 : x
  2. Step 2: Convert to fraction form
    103,202.64/154,804.10 = 28,323.81/x
  3. Step 3: Cross multiply
    103,202.64x = 154,804.10 × 28,323.81
  4. Step 4: Simplify right side
    103,202.64x = 4,384,641,774.00
  5. Step 5: Solve for x
    x = 4,384,641,774.00/103,202.64
  6. Step 6: Final answer
    x = 42,485.75

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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.