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Finding the Fourth Proportional to 164,117.31, 246,077.55 and 75,259.50

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Solution

The fourth proportional to 164,117.31, 246,077.55 and 75,259.50 is: 112,844.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,117.31 : 246,077.55 = 75,259.50 : x
  2. Step 2: Convert to fraction form
    164,117.31/246,077.55 = 75,259.50/x
  3. Step 3: Cross multiply
    164,117.31x = 246,077.55 × 75,259.50
  4. Step 4: Simplify right side
    164,117.31x = 18,519,673,374.23
  5. Step 5: Solve for x
    x = 18,519,673,374.23/164,117.31
  6. Step 6: Final answer
    x = 112,844.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.