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Finding the Fourth Proportional to 175,584, 263,378.88 and 50,937.60

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Solution

The fourth proportional to 175,584, 263,378.88 and 50,937.60 is: 76,407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,584 : 263,378.88 = 50,937.60 : x
  2. Step 2: Convert to fraction form
    175,584/263,378.88 = 50,937.60/x
  3. Step 3: Cross multiply
    175,584x = 263,378.88 × 50,937.60
  4. Step 4: Simplify right side
    175,584x = 13,415,888,037.89
  5. Step 5: Solve for x
    x = 13,415,888,037.89/175,584
  6. Step 6: Final answer
    x = 76,407.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.