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Finding the Fourth Proportional to 135,456, 186,923.52 and 75,026.40

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Solution

The fourth proportional to 135,456, 186,923.52 and 75,026.40 is: 103,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,456 : 186,923.52 = 75,026.40 : x
  2. Step 2: Convert to fraction form
    135,456/186,923.52 = 75,026.40/x
  3. Step 3: Cross multiply
    135,456x = 186,923.52 × 75,026.40
  4. Step 4: Simplify right side
    135,456x = 14,024,198,780.93
  5. Step 5: Solve for x
    x = 14,024,198,780.93/135,456
  6. Step 6: Final answer
    x = 103,533.24

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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.