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Finding the Fourth Proportional to 176,764.84, 265,147.26 and 102,841

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Solution

The fourth proportional to 176,764.84, 265,147.26 and 102,841 is: 154,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,764.84 : 265,147.26 = 102,841 : x
  2. Step 2: Convert to fraction form
    176,764.84/265,147.26 = 102,841/x
  3. Step 3: Cross multiply
    176,764.84x = 265,147.26 × 102,841
  4. Step 4: Simplify right side
    176,764.84x = 27,268,009,365.66
  5. Step 5: Solve for x
    x = 27,268,009,365.66/176,764.84
  6. Step 6: Final answer
    x = 154,261.50

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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.