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Finding the Fourth Proportional to 177,783.90, 266,676.10 and 72,602.86

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Solution

The fourth proportional to 177,783.90, 266,676.10 and 72,602.86 is: 108,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,783.90 : 266,676.10 = 72,602.86 : x
  2. Step 2: Convert to fraction form
    177,783.90/266,676.10 = 72,602.86/x
  3. Step 3: Cross multiply
    177,783.90x = 266,676.10 × 72,602.86
  4. Step 4: Simplify right side
    177,783.90x = 19,361,447,372.14
  5. Step 5: Solve for x
    x = 19,361,447,372.14/177,783.90
  6. Step 6: Final answer
    x = 108,904.39

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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.