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Finding the Fourth Proportional to 128,412.56, 177,199.71 and 71,813

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Solution

The fourth proportional to 128,412.56, 177,199.71 and 71,813 is: 99,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,412.56 : 177,199.71 = 71,813 : x
  2. Step 2: Convert to fraction form
    128,412.56/177,199.71 = 71,813/x
  3. Step 3: Cross multiply
    128,412.56x = 177,199.71 × 71,813
  4. Step 4: Simplify right side
    128,412.56x = 12,725,242,774.23
  5. Step 5: Solve for x
    x = 12,725,242,774.23/128,412.56
  6. Step 6: Final answer
    x = 99,096.56

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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.