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Finding the Fourth Proportional to 154,720.90, 232,093.32 and 65,974.96

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Solution

The fourth proportional to 154,720.90, 232,093.32 and 65,974.96 is: 98,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,720.90 : 232,093.32 = 65,974.96 : x
  2. Step 2: Convert to fraction form
    154,720.90/232,093.32 = 65,974.96/x
  3. Step 3: Cross multiply
    154,720.90x = 232,093.32 × 65,974.96
  4. Step 4: Simplify right side
    154,720.90x = 15,312,347,503.27
  5. Step 5: Solve for x
    x = 15,312,347,503.27/154,720.90
  6. Step 6: Final answer
    x = 98,967.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.