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Finding the Fourth Proportional to 115,136, 172,709.76 and 109,076.48

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Solution

The fourth proportional to 115,136, 172,709.76 and 109,076.48 is: 163,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,136 : 172,709.76 = 109,076.48 : x
  2. Step 2: Convert to fraction form
    115,136/172,709.76 = 109,076.48/x
  3. Step 3: Cross multiply
    115,136x = 172,709.76 × 109,076.48
  4. Step 4: Simplify right side
    115,136x = 18,838,572,682.44
  5. Step 5: Solve for x
    x = 18,838,572,682.44/115,136
  6. Step 6: Final answer
    x = 163,620.18

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