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Finding the Fourth Proportional to 192,061.76, 265,047.24 and 107,177

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Solution

The fourth proportional to 192,061.76, 265,047.24 and 107,177 is: 147,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,061.76 : 265,047.24 = 107,177 : x
  2. Step 2: Convert to fraction form
    192,061.76/265,047.24 = 107,177/x
  3. Step 3: Cross multiply
    192,061.76x = 265,047.24 × 107,177
  4. Step 4: Simplify right side
    192,061.76x = 28,406,968,041.48
  5. Step 5: Solve for x
    x = 28,406,968,041.48/192,061.76
  6. Step 6: Final answer
    x = 147,905.38

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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.