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Finding the Fourth Proportional to 253,810.40, 380,542.80 and 96,015.20

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Solution

The fourth proportional to 253,810.40, 380,542.80 and 96,015.20 is: 143,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,810.40 : 380,542.80 = 96,015.20 : x
  2. Step 2: Convert to fraction form
    253,810.40/380,542.80 = 96,015.20/x
  3. Step 3: Cross multiply
    253,810.40x = 380,542.80 × 96,015.20
  4. Step 4: Simplify right side
    253,810.40x = 36,537,893,050.56
  5. Step 5: Solve for x
    x = 36,537,893,050.56/253,810.40
  6. Step 6: Final answer
    x = 143,957.43

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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.