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Finding the Fourth Proportional to 103,298.38, 142,556.43 and 80,903.50

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Solution

The fourth proportional to 103,298.38, 142,556.43 and 80,903.50 is: 111,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,298.38 : 142,556.43 = 80,903.50 : x
  2. Step 2: Convert to fraction form
    103,298.38/142,556.43 = 80,903.50/x
  3. Step 3: Cross multiply
    103,298.38x = 142,556.43 × 80,903.50
  4. Step 4: Simplify right side
    103,298.38x = 11,533,314,134.51
  5. Step 5: Solve for x
    x = 11,533,314,134.51/103,298.38
  6. Step 6: Final answer
    x = 111,650.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.