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Finding the Fourth Proportional to 338,099.73, 507,032.84 and 98,148.58

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Solution

The fourth proportional to 338,099.73, 507,032.84 and 98,148.58 is: 147,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,099.73 : 507,032.84 = 98,148.58 : x
  2. Step 2: Convert to fraction form
    338,099.73/507,032.84 = 98,148.58/x
  3. Step 3: Cross multiply
    338,099.73x = 507,032.84 × 98,148.58
  4. Step 4: Simplify right side
    338,099.73x = 49,764,551,501.04
  5. Step 5: Solve for x
    x = 49,764,551,501.04/338,099.73
  6. Step 6: Final answer
    x = 147,188.97

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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.