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Finding the Fourth Proportional to 132,352.20, 198,416.65 and 57,415.93

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Solution

The fourth proportional to 132,352.20, 198,416.65 and 57,415.93 is: 86,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,352.20 : 198,416.65 = 57,415.93 : x
  2. Step 2: Convert to fraction form
    132,352.20/198,416.65 = 57,415.93/x
  3. Step 3: Cross multiply
    132,352.20x = 198,416.65 × 57,415.93
  4. Step 4: Simplify right side
    132,352.20x = 11,392,276,487.23
  5. Step 5: Solve for x
    x = 11,392,276,487.23/132,352.20
  6. Step 6: Final answer
    x = 86,075.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.