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Finding the Fourth Proportional to 127,256.85, 175,533.75 and 78,177

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Solution

The fourth proportional to 127,256.85, 175,533.75 and 78,177 is: 107,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,256.85 : 175,533.75 = 78,177 : x
  2. Step 2: Convert to fraction form
    127,256.85/175,533.75 = 78,177/x
  3. Step 3: Cross multiply
    127,256.85x = 175,533.75 × 78,177
  4. Step 4: Simplify right side
    127,256.85x = 13,722,701,973.75
  5. Step 5: Solve for x
    x = 13,722,701,973.75/127,256.85
  6. Step 6: Final answer
    x = 107,834.68

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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.