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Finding the Fourth Proportional to 110,391.84, 151,956.08 and 96,220

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Solution

The fourth proportional to 110,391.84, 151,956.08 and 96,220 is: 132,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,391.84 : 151,956.08 = 96,220 : x
  2. Step 2: Convert to fraction form
    110,391.84/151,956.08 = 96,220/x
  3. Step 3: Cross multiply
    110,391.84x = 151,956.08 × 96,220
  4. Step 4: Simplify right side
    110,391.84x = 14,621,214,017.60
  5. Step 5: Solve for x
    x = 14,621,214,017.60/110,391.84
  6. Step 6: Final answer
    x = 132,448.32

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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.