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Finding the Fourth Proportional to 282,504.90, 423,757.34 and 105,056.58

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Solution

The fourth proportional to 282,504.90, 423,757.34 and 105,056.58 is: 157,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,504.90 : 423,757.34 = 105,056.58 : x
  2. Step 2: Convert to fraction form
    282,504.90/423,757.34 = 105,056.58/x
  3. Step 3: Cross multiply
    282,504.90x = 423,757.34 × 105,056.58
  4. Step 4: Simplify right side
    282,504.90x = 44,518,496,890.30
  5. Step 5: Solve for x
    x = 44,518,496,890.30/282,504.90
  6. Step 6: Final answer
    x = 157,584.87

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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.