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Finding the Fourth Proportional to 285,097.40, 427,741.10 and 95,576.50

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Solution

The fourth proportional to 285,097.40, 427,741.10 and 95,576.50 is: 143,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,097.40 : 427,741.10 = 95,576.50 : x
  2. Step 2: Convert to fraction form
    285,097.40/427,741.10 = 95,576.50/x
  3. Step 3: Cross multiply
    285,097.40x = 427,741.10 × 95,576.50
  4. Step 4: Simplify right side
    285,097.40x = 40,881,997,244.15
  5. Step 5: Solve for x
    x = 40,881,997,244.15/285,097.40
  6. Step 6: Final answer
    x = 143,396.60

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Why These Related Problems?

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