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Finding the Fourth Proportional to 285,980.20, 428,970.30 and 75,639.40

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Solution

The fourth proportional to 285,980.20, 428,970.30 and 75,639.40 is: 113,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,980.20 : 428,970.30 = 75,639.40 : x
  2. Step 2: Convert to fraction form
    285,980.20/428,970.30 = 75,639.40/x
  3. Step 3: Cross multiply
    285,980.20x = 428,970.30 × 75,639.40
  4. Step 4: Simplify right side
    285,980.20x = 32,447,056,109.82
  5. Step 5: Solve for x
    x = 32,447,056,109.82/285,980.20
  6. Step 6: Final answer
    x = 113,459.10

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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.