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Finding the Fourth Proportional to 127,083.84, 175,378.28 and 76,098.80

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Solution

The fourth proportional to 127,083.84, 175,378.28 and 76,098.80 is: 105,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,083.84 : 175,378.28 = 76,098.80 : x
  2. Step 2: Convert to fraction form
    127,083.84/175,378.28 = 76,098.80/x
  3. Step 3: Cross multiply
    127,083.84x = 175,378.28 × 76,098.80
  4. Step 4: Simplify right side
    127,083.84x = 13,346,076,654.06
  5. Step 5: Solve for x
    x = 13,346,076,654.06/127,083.84
  6. Step 6: Final answer
    x = 105,017.89

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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.