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Finding the Fourth Proportional to 285,931.38, 428,900.72 and 75,567.50

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Solution

The fourth proportional to 285,931.38, 428,900.72 and 75,567.50 is: 113,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,931.38 : 428,900.72 = 75,567.50 : x
  2. Step 2: Convert to fraction form
    285,931.38/428,900.72 = 75,567.50/x
  3. Step 3: Cross multiply
    285,931.38x = 428,900.72 × 75,567.50
  4. Step 4: Simplify right side
    285,931.38x = 32,410,955,158.60
  5. Step 5: Solve for x
    x = 32,410,955,158.60/285,931.38
  6. Step 6: Final answer
    x = 113,352.21

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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.