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Finding the Fourth Proportional to 177,415.30, 265,734.15 and 94,212.10

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Solution

The fourth proportional to 177,415.30, 265,734.15 and 94,212.10 is: 141,111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,415.30 : 265,734.15 = 94,212.10 : x
  2. Step 2: Convert to fraction form
    177,415.30/265,734.15 = 94,212.10/x
  3. Step 3: Cross multiply
    177,415.30x = 265,734.15 × 94,212.10
  4. Step 4: Simplify right side
    177,415.30x = 25,035,372,313.22
  5. Step 5: Solve for x
    x = 25,035,372,313.22/177,415.30
  6. Step 6: Final answer
    x = 141,111.69

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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.