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Finding the Fourth Proportional to 128,300.16, 192,445.92 and 45,192

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Solution

The fourth proportional to 128,300.16, 192,445.92 and 45,192 is: 67,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,300.16 : 192,445.92 = 45,192 : x
  2. Step 2: Convert to fraction form
    128,300.16/192,445.92 = 45,192/x
  3. Step 3: Cross multiply
    128,300.16x = 192,445.92 × 45,192
  4. Step 4: Simplify right side
    128,300.16x = 8,697,016,016.64
  5. Step 5: Solve for x
    x = 8,697,016,016.64/128,300.16
  6. Step 6: Final answer
    x = 67,786.48

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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.