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Finding the Fourth Proportional to 177,056.76, 265,612.74 and 71,883.12

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Solution

The fourth proportional to 177,056.76, 265,612.74 and 71,883.12 is: 107,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,056.76 : 265,612.74 = 71,883.12 : x
  2. Step 2: Convert to fraction form
    177,056.76/265,612.74 = 71,883.12/x
  3. Step 3: Cross multiply
    177,056.76x = 265,612.74 × 71,883.12
  4. Step 4: Simplify right side
    177,056.76x = 19,093,072,462.95
  5. Step 5: Solve for x
    x = 19,093,072,462.95/177,056.76
  6. Step 6: Final answer
    x = 107,835.89

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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.