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Finding the Fourth Proportional to 306,104.32, 422,359.14 and 185,222.08

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Solution

The fourth proportional to 306,104.32, 422,359.14 and 185,222.08 is: 255,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,104.32 : 422,359.14 = 185,222.08 : x
  2. Step 2: Convert to fraction form
    306,104.32/422,359.14 = 185,222.08/x
  3. Step 3: Cross multiply
    306,104.32x = 422,359.14 × 185,222.08
  4. Step 4: Simplify right side
    306,104.32x = 78,230,238,417.81
  5. Step 5: Solve for x
    x = 78,230,238,417.81/306,104.32
  6. Step 6: Final answer
    x = 255,567.25

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