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Finding the Fourth Proportional to 326,033.36, 489,055.16 and 148,533.20

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Solution

The fourth proportional to 326,033.36, 489,055.16 and 148,533.20 is: 222,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,033.36 : 489,055.16 = 148,533.20 : x
  2. Step 2: Convert to fraction form
    326,033.36/489,055.16 = 148,533.20/x
  3. Step 3: Cross multiply
    326,033.36x = 489,055.16 × 148,533.20
  4. Step 4: Simplify right side
    326,033.36x = 72,640,927,891.31
  5. Step 5: Solve for x
    x = 72,640,927,891.31/326,033.36
  6. Step 6: Final answer
    x = 222,802.13

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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.