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Finding the Fourth Proportional to 128,461.77, 177,262.45 and 74,021.87

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Solution

The fourth proportional to 128,461.77, 177,262.45 and 74,021.87 is: 102,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,461.77 : 177,262.45 = 74,021.87 : x
  2. Step 2: Convert to fraction form
    128,461.77/177,262.45 = 74,021.87/x
  3. Step 3: Cross multiply
    128,461.77x = 177,262.45 × 74,021.87
  4. Step 4: Simplify right side
    128,461.77x = 13,121,298,287.88
  5. Step 5: Solve for x
    x = 13,121,298,287.88/128,461.77
  6. Step 6: Final answer
    x = 102,141.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.