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Finding the Fourth Proportional to 132,393.86, 198,479.01 and 57,457.34

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Solution

The fourth proportional to 132,393.86, 198,479.01 and 57,457.34 is: 86,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,393.86 : 198,479.01 = 57,457.34 : x
  2. Step 2: Convert to fraction form
    132,393.86/198,479.01 = 57,457.34/x
  3. Step 3: Cross multiply
    132,393.86x = 198,479.01 × 57,457.34
  4. Step 4: Simplify right side
    132,393.86x = 11,404,075,960.43
  5. Step 5: Solve for x
    x = 11,404,075,960.43/132,393.86
  6. Step 6: Final answer
    x = 86,137.50

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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.