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Finding the Fourth Proportional to 117,702, 162,452.32 and 69,946.08

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Solution

The fourth proportional to 117,702, 162,452.32 and 69,946.08 is: 96,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,702 : 162,452.32 = 69,946.08 : x
  2. Step 2: Convert to fraction form
    117,702/162,452.32 = 69,946.08/x
  3. Step 3: Cross multiply
    117,702x = 162,452.32 × 69,946.08
  4. Step 4: Simplify right side
    117,702x = 11,362,902,970.91
  5. Step 5: Solve for x
    x = 11,362,902,970.91/117,702
  6. Step 6: Final answer
    x = 96,539.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.