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Finding the Fourth Proportional to 152,342.40, 210,232.62 and 83,431.50

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Solution

The fourth proportional to 152,342.40, 210,232.62 and 83,431.50 is: 115,135.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,342.40 : 210,232.62 = 83,431.50 : x
  2. Step 2: Convert to fraction form
    152,342.40/210,232.62 = 83,431.50/x
  3. Step 3: Cross multiply
    152,342.40x = 210,232.62 × 83,431.50
  4. Step 4: Simplify right side
    152,342.40x = 17,540,022,835.53
  5. Step 5: Solve for x
    x = 17,540,022,835.53/152,342.40
  6. Step 6: Final answer
    x = 115,135.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.