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Finding the Fourth Proportional to 206,856.60, 310,284.90 and 184,549.20

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Solution

The fourth proportional to 206,856.60, 310,284.90 and 184,549.20 is: 276,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,856.60 : 310,284.90 = 184,549.20 : x
  2. Step 2: Convert to fraction form
    206,856.60/310,284.90 = 184,549.20/x
  3. Step 3: Cross multiply
    206,856.60x = 310,284.90 × 184,549.20
  4. Step 4: Simplify right side
    206,856.60x = 57,262,830,067.08
  5. Step 5: Solve for x
    x = 57,262,830,067.08/206,856.60
  6. Step 6: Final answer
    x = 276,823.80

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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.