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Finding the Fourth Proportional to 107,201.78, 147,945.57 and 59,457.14

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Solution

The fourth proportional to 107,201.78, 147,945.57 and 59,457.14 is: 82,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,201.78 : 147,945.57 = 59,457.14 : x
  2. Step 2: Convert to fraction form
    107,201.78/147,945.57 = 59,457.14/x
  3. Step 3: Cross multiply
    107,201.78x = 147,945.57 × 59,457.14
  4. Step 4: Simplify right side
    107,201.78x = 8,796,420,467.87
  5. Step 5: Solve for x
    x = 8,796,420,467.87/107,201.78
  6. Step 6: Final answer
    x = 82,054.80

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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.