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Finding the Fourth Proportional to 175,200, 241,777.08 and 95,712

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Solution

The fourth proportional to 175,200, 241,777.08 and 95,712 is: 132,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,200 : 241,777.08 = 95,712 : x
  2. Step 2: Convert to fraction form
    175,200/241,777.08 = 95,712/x
  3. Step 3: Cross multiply
    175,200x = 241,777.08 × 95,712
  4. Step 4: Simplify right side
    175,200x = 23,140,967,880.96
  5. Step 5: Solve for x
    x = 23,140,967,880.96/175,200
  6. Step 6: Final answer
    x = 132,083.15

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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.