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Finding the Fourth Proportional to 180,401.16, 248,955.84 and 99,828.48

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Solution

The fourth proportional to 180,401.16, 248,955.84 and 99,828.48 is: 137,764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,401.16 : 248,955.84 = 99,828.48 : x
  2. Step 2: Convert to fraction form
    180,401.16/248,955.84 = 99,828.48/x
  3. Step 3: Cross multiply
    180,401.16x = 248,955.84 × 99,828.48
  4. Step 4: Simplify right side
    180,401.16x = 24,852,883,094.32
  5. Step 5: Solve for x
    x = 24,852,883,094.32/180,401.16
  6. Step 6: Final answer
    x = 137,764.54

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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.