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Finding the Fourth Proportional to 150,693.54, 207,973.74 and 96,295.98

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Solution

The fourth proportional to 150,693.54, 207,973.74 and 96,295.98 is: 132,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,693.54 : 207,973.74 = 96,295.98 : x
  2. Step 2: Convert to fraction form
    150,693.54/207,973.74 = 96,295.98/x
  3. Step 3: Cross multiply
    150,693.54x = 207,973.74 × 96,295.98
  4. Step 4: Simplify right side
    150,693.54x = 20,027,035,107.57
  5. Step 5: Solve for x
    x = 20,027,035,107.57/150,693.54
  6. Step 6: Final answer
    x = 132,899.10

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1.5x scale

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.