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Finding the Fourth Proportional to 127,374.48, 175,784.65 and 106,116.84

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Solution

The fourth proportional to 127,374.48, 175,784.65 and 106,116.84 is: 146,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,374.48 : 175,784.65 = 106,116.84 : x
  2. Step 2: Convert to fraction form
    127,374.48/175,784.65 = 106,116.84/x
  3. Step 3: Cross multiply
    127,374.48x = 175,784.65 × 106,116.84
  4. Step 4: Simplify right side
    127,374.48x = 18,653,711,415.73
  5. Step 5: Solve for x
    x = 18,653,711,415.73/127,374.48
  6. Step 6: Final answer
    x = 146,447.80

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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.