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Finding the Fourth Proportional to 98,113.98, 135,393.21 and 55,674.84

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Solution

The fourth proportional to 98,113.98, 135,393.21 and 55,674.84 is: 76,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,113.98 : 135,393.21 = 55,674.84 : x
  2. Step 2: Convert to fraction form
    98,113.98/135,393.21 = 55,674.84/x
  3. Step 3: Cross multiply
    98,113.98x = 135,393.21 × 55,674.84
  4. Step 4: Simplify right side
    98,113.98x = 7,537,995,303.84
  5. Step 5: Solve for x
    x = 7,537,995,303.84/98,113.98
  6. Step 6: Final answer
    x = 76,828.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.