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Finding the Fourth Proportional to 222,323.60, 333,485.40 and 97,664.60

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Solution

The fourth proportional to 222,323.60, 333,485.40 and 97,664.60 is: 146,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,323.60 : 333,485.40 = 97,664.60 : x
  2. Step 2: Convert to fraction form
    222,323.60/333,485.40 = 97,664.60/x
  3. Step 3: Cross multiply
    222,323.60x = 333,485.40 × 97,664.60
  4. Step 4: Simplify right side
    222,323.60x = 32,569,718,196.84
  5. Step 5: Solve for x
    x = 32,569,718,196.84/222,323.60
  6. Step 6: Final answer
    x = 146,496.90

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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.