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Finding the Fourth Proportional to 185,690.56, 278,263.68 and 115,356.64

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Solution

The fourth proportional to 185,690.56, 278,263.68 and 115,356.64 is: 172,865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,690.56 : 278,263.68 = 115,356.64 : x
  2. Step 2: Convert to fraction form
    185,690.56/278,263.68 = 115,356.64/x
  3. Step 3: Cross multiply
    185,690.56x = 278,263.68 × 115,356.64
  4. Step 4: Simplify right side
    185,690.56x = 32,099,563,158.84
  5. Step 5: Solve for x
    x = 32,099,563,158.84/185,690.56
  6. Step 6: Final answer
    x = 172,865.89

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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.