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Finding the Fourth Proportional to 185,624.46, 278,438.31 and 52,509.06

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Solution

The fourth proportional to 185,624.46, 278,438.31 and 52,509.06 is: 78,764.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,624.46 : 278,438.31 = 52,509.06 : x
  2. Step 2: Convert to fraction form
    185,624.46/278,438.31 = 52,509.06/x
  3. Step 3: Cross multiply
    185,624.46x = 278,438.31 × 52,509.06
  4. Step 4: Simplify right side
    185,624.46x = 14,620,533,926.09
  5. Step 5: Solve for x
    x = 14,620,533,926.09/185,624.46
  6. Step 6: Final answer
    x = 78,764.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.