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Finding the Fourth Proportional to 177,643.88, 266,650.38 and 118,890.12

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Solution

The fourth proportional to 177,643.88, 266,650.38 and 118,890.12 is: 178,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,643.88 : 266,650.38 = 118,890.12 : x
  2. Step 2: Convert to fraction form
    177,643.88/266,650.38 = 118,890.12/x
  3. Step 3: Cross multiply
    177,643.88x = 266,650.38 × 118,890.12
  4. Step 4: Simplify right side
    177,643.88x = 31,702,095,676.25
  5. Step 5: Solve for x
    x = 31,702,095,676.25/177,643.88
  6. Step 6: Final answer
    x = 178,458.70

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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.