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Finding the Fourth Proportional to 189,842.83, 284,656.41 and 77,391.34

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Solution

The fourth proportional to 189,842.83, 284,656.41 and 77,391.34 is: 116,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,842.83 : 284,656.41 = 77,391.34 : x
  2. Step 2: Convert to fraction form
    189,842.83/284,656.41 = 77,391.34/x
  3. Step 3: Cross multiply
    189,842.83x = 284,656.41 × 77,391.34
  4. Step 4: Simplify right side
    189,842.83x = 22,029,941,009.49
  5. Step 5: Solve for x
    x = 22,029,941,009.49/189,842.83
  6. Step 6: Final answer
    x = 116,043.05

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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.