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Finding the Fourth Proportional to 128,457.58, 177,271.68 and 71,869

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Solution

The fourth proportional to 128,457.58, 177,271.68 and 71,869 is: 99,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,457.58 : 177,271.68 = 71,869 : x
  2. Step 2: Convert to fraction form
    128,457.58/177,271.68 = 71,869/x
  3. Step 3: Cross multiply
    128,457.58x = 177,271.68 × 71,869
  4. Step 4: Simplify right side
    128,457.58x = 12,740,338,369.92
  5. Step 5: Solve for x
    x = 12,740,338,369.92/128,457.58
  6. Step 6: Final answer
    x = 99,179.34

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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.