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Finding the Fourth Proportional to 180,406.92, 248,955.42 and 99,837.84

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Solution

The fourth proportional to 180,406.92, 248,955.42 and 99,837.84 is: 137,772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,406.92 : 248,955.42 = 99,837.84 : x
  2. Step 2: Convert to fraction form
    180,406.92/248,955.42 = 99,837.84/x
  3. Step 3: Cross multiply
    180,406.92x = 248,955.42 × 99,837.84
  4. Step 4: Simplify right side
    180,406.92x = 24,855,169,894.72
  5. Step 5: Solve for x
    x = 24,855,169,894.72/180,406.92
  6. Step 6: Final answer
    x = 137,772.82

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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.