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Finding the Fourth Proportional to 102,513.60, 153,770.40 and 47,217.60

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Solution

The fourth proportional to 102,513.60, 153,770.40 and 47,217.60 is: 70,826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,513.60 : 153,770.40 = 47,217.60 : x
  2. Step 2: Convert to fraction form
    102,513.60/153,770.40 = 47,217.60/x
  3. Step 3: Cross multiply
    102,513.60x = 153,770.40 × 47,217.60
  4. Step 4: Simplify right side
    102,513.60x = 7,260,669,239.04
  5. Step 5: Solve for x
    x = 7,260,669,239.04/102,513.60
  6. Step 6: Final answer
    x = 70,826.40

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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.