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Finding the Fourth Proportional to 199,533.60, 299,314.80 and 120,477.60

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Solution

The fourth proportional to 199,533.60, 299,314.80 and 120,477.60 is: 180,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,533.60 : 299,314.80 = 120,477.60 : x
  2. Step 2: Convert to fraction form
    199,533.60/299,314.80 = 120,477.60/x
  3. Step 3: Cross multiply
    199,533.60x = 299,314.80 × 120,477.60
  4. Step 4: Simplify right side
    199,533.60x = 36,060,728,748.48
  5. Step 5: Solve for x
    x = 36,060,728,748.48/199,533.60
  6. Step 6: Final answer
    x = 180,725.09

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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.