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Finding the Fourth Proportional to 127,463.41, 175,893.96 and 76,506.31

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Solution

The fourth proportional to 127,463.41, 175,893.96 and 76,506.31 is: 105,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,463.41 : 175,893.96 = 76,506.31 : x
  2. Step 2: Convert to fraction form
    127,463.41/175,893.96 = 76,506.31/x
  3. Step 3: Cross multiply
    127,463.41x = 175,893.96 × 76,506.31
  4. Step 4: Simplify right side
    127,463.41x = 13,456,997,830.89
  5. Step 5: Solve for x
    x = 13,456,997,830.89/127,463.41
  6. Step 6: Final answer
    x = 105,575.38

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Why These Related Problems?

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