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Finding the Fourth Proportional to 129,290.25, 178,442.46 and 74,834.54

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Solution

The fourth proportional to 129,290.25, 178,442.46 and 74,834.54 is: 103,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,290.25 : 178,442.46 = 74,834.54 : x
  2. Step 2: Convert to fraction form
    129,290.25/178,442.46 = 74,834.54/x
  3. Step 3: Cross multiply
    129,290.25x = 178,442.46 × 74,834.54
  4. Step 4: Simplify right side
    129,290.25x = 13,353,658,518.36
  5. Step 5: Solve for x
    x = 13,353,658,518.36/129,290.25
  6. Step 6: Final answer
    x = 103,284.34

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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.