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Finding the Fourth Proportional to 142,554.96, 196,746.72 and 82,113.96

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Solution

The fourth proportional to 142,554.96, 196,746.72 and 82,113.96 is: 113,329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,554.96 : 196,746.72 = 82,113.96 : x
  2. Step 2: Convert to fraction form
    142,554.96/196,746.72 = 82,113.96/x
  3. Step 3: Cross multiply
    142,554.96x = 196,746.72 × 82,113.96
  4. Step 4: Simplify right side
    142,554.96x = 16,155,652,296.21
  5. Step 5: Solve for x
    x = 16,155,652,296.21/142,554.96
  6. Step 6: Final answer
    x = 113,329.29

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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.