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Finding the Fourth Proportional to 195,466.64, 269,721.16 and 109,430.32

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Solution

The fourth proportional to 195,466.64, 269,721.16 and 109,430.32 is: 151,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,466.64 : 269,721.16 = 109,430.32 : x
  2. Step 2: Convert to fraction form
    195,466.64/269,721.16 = 109,430.32/x
  3. Step 3: Cross multiply
    195,466.64x = 269,721.16 × 109,430.32
  4. Step 4: Simplify right side
    195,466.64x = 29,515,672,849.57
  5. Step 5: Solve for x
    x = 29,515,672,849.57/195,466.64
  6. Step 6: Final answer
    x = 151,001.08

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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.