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Finding the Fourth Proportional to 189,594.78, 284,068.48 and 104,277.05

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Solution

The fourth proportional to 189,594.78, 284,068.48 and 104,277.05 is: 156,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,594.78 : 284,068.48 = 104,277.05 : x
  2. Step 2: Convert to fraction form
    189,594.78/284,068.48 = 104,277.05/x
  3. Step 3: Cross multiply
    189,594.78x = 284,068.48 × 104,277.05
  4. Step 4: Simplify right side
    189,594.78x = 29,621,823,541.86
  5. Step 5: Solve for x
    x = 29,621,823,541.86/189,594.78
  6. Step 6: Final answer
    x = 156,237.55

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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.