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Finding the Fourth Proportional to 196,544.34, 294,228.93 and 120,403.02

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Solution

The fourth proportional to 196,544.34, 294,228.93 and 120,403.02 is: 180,244.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,544.34 : 294,228.93 = 120,403.02 : x
  2. Step 2: Convert to fraction form
    196,544.34/294,228.93 = 120,403.02/x
  3. Step 3: Cross multiply
    196,544.34x = 294,228.93 × 120,403.02
  4. Step 4: Simplify right side
    196,544.34x = 35,426,051,743.37
  5. Step 5: Solve for x
    x = 35,426,051,743.37/196,544.34
  6. Step 6: Final answer
    x = 180,244.58

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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.