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Finding the Fourth Proportional to 162,232.68, 243,361.80 and 57,075.24

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Solution

The fourth proportional to 162,232.68, 243,361.80 and 57,075.24 is: 85,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,232.68 : 243,361.80 = 57,075.24 : x
  2. Step 2: Convert to fraction form
    162,232.68/243,361.80 = 57,075.24/x
  3. Step 3: Cross multiply
    162,232.68x = 243,361.80 × 57,075.24
  4. Step 4: Simplify right side
    162,232.68x = 13,889,933,141.83
  5. Step 5: Solve for x
    x = 13,889,933,141.83/162,232.68
  6. Step 6: Final answer
    x = 85,617.36

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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.