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Finding the Fourth Proportional to 102,534.34, 153,793.14 and 45,625.90

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Solution

The fourth proportional to 102,534.34, 153,793.14 and 45,625.90 is: 68,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,534.34 : 153,793.14 = 45,625.90 : x
  2. Step 2: Convert to fraction form
    102,534.34/153,793.14 = 45,625.90/x
  3. Step 3: Cross multiply
    102,534.34x = 153,793.14 × 45,625.90
  4. Step 4: Simplify right side
    102,534.34x = 7,016,950,426.33
  5. Step 5: Solve for x
    x = 7,016,950,426.33/102,534.34
  6. Step 6: Final answer
    x = 68,435.13

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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.