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Finding the Fourth Proportional to 177,291.36, 265,514.16 and 102,254.52

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Solution

The fourth proportional to 177,291.36, 265,514.16 and 102,254.52 is: 153,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,291.36 : 265,514.16 = 102,254.52 : x
  2. Step 2: Convert to fraction form
    177,291.36/265,514.16 = 102,254.52/x
  3. Step 3: Cross multiply
    177,291.36x = 265,514.16 × 102,254.52
  4. Step 4: Simplify right side
    177,291.36x = 27,150,022,984.00
  5. Step 5: Solve for x
    x = 27,150,022,984.00/177,291.36
  6. Step 6: Final answer
    x = 153,137.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.