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Finding the Fourth Proportional to 177,563.76, 266,473.06 and 120,495.36

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Solution

The fourth proportional to 177,563.76, 266,473.06 and 120,495.36 is: 180,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,563.76 : 266,473.06 = 120,495.36 : x
  2. Step 2: Convert to fraction form
    177,563.76/266,473.06 = 120,495.36/x
  3. Step 3: Cross multiply
    177,563.76x = 266,473.06 × 120,495.36
  4. Step 4: Simplify right side
    177,563.76x = 32,108,767,295.00
  5. Step 5: Solve for x
    x = 32,108,767,295.00/177,563.76
  6. Step 6: Final answer
    x = 180,829.51

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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.