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Finding the Fourth Proportional to 177,140.88, 265,486.68 and 175,266

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Solution

The fourth proportional to 177,140.88, 265,486.68 and 175,266 is: 262,676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,140.88 : 265,486.68 = 175,266 : x
  2. Step 2: Convert to fraction form
    177,140.88/265,486.68 = 175,266/x
  3. Step 3: Cross multiply
    177,140.88x = 265,486.68 × 175,266
  4. Step 4: Simplify right side
    177,140.88x = 46,530,788,456.88
  5. Step 5: Solve for x
    x = 46,530,788,456.88/177,140.88
  6. Step 6: Final answer
    x = 262,676.74

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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.