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Finding the Fourth Proportional to 175,810.84, 263,741.40 and 54,241.67

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Solution

The fourth proportional to 175,810.84, 263,741.40 and 54,241.67 is: 81,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,810.84 : 263,741.40 = 54,241.67 : x
  2. Step 2: Convert to fraction form
    175,810.84/263,741.40 = 54,241.67/x
  3. Step 3: Cross multiply
    175,810.84x = 263,741.40 × 54,241.67
  4. Step 4: Simplify right side
    175,810.84x = 14,305,774,643.49
  5. Step 5: Solve for x
    x = 14,305,774,643.49/175,810.84
  6. Step 6: Final answer
    x = 81,370.27

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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.