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Finding the Fourth Proportional to 192,097.48, 265,119.60 and 107,232.16

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Solution

The fourth proportional to 192,097.48, 265,119.60 and 107,232.16 is: 147,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,097.48 : 265,119.60 = 107,232.16 : x
  2. Step 2: Convert to fraction form
    192,097.48/265,119.60 = 107,232.16/x
  3. Step 3: Cross multiply
    192,097.48x = 265,119.60 × 107,232.16
  4. Step 4: Simplify right side
    192,097.48x = 28,429,347,366.34
  5. Step 5: Solve for x
    x = 28,429,347,366.34/192,097.48
  6. Step 6: Final answer
    x = 147,994.38

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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.