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Finding the Fourth Proportional to 177,261.66, 265,892.36 and 52,602.66

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Solution

The fourth proportional to 177,261.66, 265,892.36 and 52,602.66 is: 78,903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,261.66 : 265,892.36 = 52,602.66 : x
  2. Step 2: Convert to fraction form
    177,261.66/265,892.36 = 52,602.66/x
  3. Step 3: Cross multiply
    177,261.66x = 265,892.36 × 52,602.66
  4. Step 4: Simplify right side
    177,261.66x = 13,986,645,409.68
  5. Step 5: Solve for x
    x = 13,986,645,409.68/177,261.66
  6. Step 6: Final answer
    x = 78,903.95

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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.