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Finding the Fourth Proportional to 177,879.10, 266,391.07 and 101,746.90

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Solution

The fourth proportional to 177,879.10, 266,391.07 and 101,746.90 is: 152,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,879.10 : 266,391.07 = 101,746.90 : x
  2. Step 2: Convert to fraction form
    177,879.10/266,391.07 = 101,746.90/x
  3. Step 3: Cross multiply
    177,879.10x = 266,391.07 × 101,746.90
  4. Step 4: Simplify right side
    177,879.10x = 27,104,465,214.76
  5. Step 5: Solve for x
    x = 27,104,465,214.76/177,879.10
  6. Step 6: Final answer
    x = 152,375.77

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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.