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Finding the Fourth Proportional to 213,048.50, 319,268.25 and 156,444.55

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Solution

The fourth proportional to 213,048.50, 319,268.25 and 156,444.55 is: 234,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,048.50 : 319,268.25 = 156,444.55 : x
  2. Step 2: Convert to fraction form
    213,048.50/319,268.25 = 156,444.55/x
  3. Step 3: Cross multiply
    213,048.50x = 319,268.25 × 156,444.55
  4. Step 4: Simplify right side
    213,048.50x = 49,947,776,902.37
  5. Step 5: Solve for x
    x = 49,947,776,902.37/213,048.50
  6. Step 6: Final answer
    x = 234,443.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.