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Finding the Fourth Proportional to 196,003.60, 294,005.40 and 85,411.60

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Solution

The fourth proportional to 196,003.60, 294,005.40 and 85,411.60 is: 128,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,003.60 : 294,005.40 = 85,411.60 : x
  2. Step 2: Convert to fraction form
    196,003.60/294,005.40 = 85,411.60/x
  3. Step 3: Cross multiply
    196,003.60x = 294,005.40 × 85,411.60
  4. Step 4: Simplify right side
    196,003.60x = 25,111,471,622.64
  5. Step 5: Solve for x
    x = 25,111,471,622.64/196,003.60
  6. Step 6: Final answer
    x = 128,117.40

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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.