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Finding the Fourth Proportional to 177,237.54, 265,231.80 and 110,709

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Solution

The fourth proportional to 177,237.54, 265,231.80 and 110,709 is: 165,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,237.54 : 265,231.80 = 110,709 : x
  2. Step 2: Convert to fraction form
    177,237.54/265,231.80 = 110,709/x
  3. Step 3: Cross multiply
    177,237.54x = 265,231.80 × 110,709
  4. Step 4: Simplify right side
    177,237.54x = 29,363,547,346.20
  5. Step 5: Solve for x
    x = 29,363,547,346.20/177,237.54
  6. Step 6: Final answer
    x = 165,673.41

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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.