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Finding the Fourth Proportional to 285,154.92, 427,537.96 and 144,642.60

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Solution

The fourth proportional to 285,154.92, 427,537.96 and 144,642.60 is: 216,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,154.92 : 427,537.96 = 144,642.60 : x
  2. Step 2: Convert to fraction form
    285,154.92/427,537.96 = 144,642.60/x
  3. Step 3: Cross multiply
    285,154.92x = 427,537.96 × 144,642.60
  4. Step 4: Simplify right side
    285,154.92x = 61,840,202,133.10
  5. Step 5: Solve for x
    x = 61,840,202,133.10/285,154.92
  6. Step 6: Final answer
    x = 216,865.28

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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.