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Finding the Fourth Proportional to 137,154, 205,653.24 and 57,099.60

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Solution

The fourth proportional to 137,154, 205,653.24 and 57,099.60 is: 85,617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,154 : 205,653.24 = 57,099.60 : x
  2. Step 2: Convert to fraction form
    137,154/205,653.24 = 57,099.60/x
  3. Step 3: Cross multiply
    137,154x = 205,653.24 × 57,099.60
  4. Step 4: Simplify right side
    137,154x = 11,742,717,742.70
  5. Step 5: Solve for x
    x = 11,742,717,742.70/137,154
  6. Step 6: Final answer
    x = 85,617.03

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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.