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Finding the Fourth Proportional to 98,738.40, 148,041.96 and 54,386

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Solution

The fourth proportional to 98,738.40, 148,041.96 and 54,386 is: 81,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,738.40 : 148,041.96 = 54,386 : x
  2. Step 2: Convert to fraction form
    98,738.40/148,041.96 = 54,386/x
  3. Step 3: Cross multiply
    98,738.40x = 148,041.96 × 54,386
  4. Step 4: Simplify right side
    98,738.40x = 8,051,410,036.56
  5. Step 5: Solve for x
    x = 8,051,410,036.56/98,738.40
  6. Step 6: Final answer
    x = 81,542.84

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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.