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Finding the Fourth Proportional to 180,311.70, 248,827.07 and 99,739.16

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Solution

The fourth proportional to 180,311.70, 248,827.07 and 99,739.16 is: 137,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,311.70 : 248,827.07 = 99,739.16 : x
  2. Step 2: Convert to fraction form
    180,311.70/248,827.07 = 99,739.16/x
  3. Step 3: Cross multiply
    180,311.70x = 248,827.07 × 99,739.16
  4. Step 4: Simplify right side
    180,311.70x = 24,817,802,947.06
  5. Step 5: Solve for x
    x = 24,817,802,947.06/180,311.70
  6. Step 6: Final answer
    x = 137,638.34

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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.