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Finding the Fourth Proportional to 177,315.92, 265,879.88 and 77,359.34

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Solution

The fourth proportional to 177,315.92, 265,879.88 and 77,359.34 is: 115,998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,315.92 : 265,879.88 = 77,359.34 : x
  2. Step 2: Convert to fraction form
    177,315.92/265,879.88 = 77,359.34/x
  3. Step 3: Cross multiply
    177,315.92x = 265,879.88 × 77,359.34
  4. Step 4: Simplify right side
    177,315.92x = 20,568,291,543.65
  5. Step 5: Solve for x
    x = 20,568,291,543.65/177,315.92
  6. Step 6: Final answer
    x = 115,998.00

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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.