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Finding the Fourth Proportional to 146,466, 201,927.60 and 116,351.28

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Solution

The fourth proportional to 146,466, 201,927.60 and 116,351.28 is: 160,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,466 : 201,927.60 = 116,351.28 : x
  2. Step 2: Convert to fraction form
    146,466/201,927.60 = 116,351.28/x
  3. Step 3: Cross multiply
    146,466x = 201,927.60 × 116,351.28
  4. Step 4: Simplify right side
    146,466x = 23,494,534,727.33
  5. Step 5: Solve for x
    x = 23,494,534,727.33/146,466
  6. Step 6: Final answer
    x = 160,409.48

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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.