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Finding the Fourth Proportional to 189,903.78, 262,094.40 and 109,323.36

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Solution

The fourth proportional to 189,903.78, 262,094.40 and 109,323.36 is: 150,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,903.78 : 262,094.40 = 109,323.36 : x
  2. Step 2: Convert to fraction form
    189,903.78/262,094.40 = 109,323.36/x
  3. Step 3: Cross multiply
    189,903.78x = 262,094.40 × 109,323.36
  4. Step 4: Simplify right side
    189,903.78x = 28,653,040,445.18
  5. Step 5: Solve for x
    x = 28,653,040,445.18/189,903.78
  6. Step 6: Final answer
    x = 150,881.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.