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Finding the Fourth Proportional to 98,186.94, 147,277.48 and 27,113.90

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Solution

The fourth proportional to 98,186.94, 147,277.48 and 27,113.90 is: 40,670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,186.94 : 147,277.48 = 27,113.90 : x
  2. Step 2: Convert to fraction form
    98,186.94/147,277.48 = 27,113.90/x
  3. Step 3: Cross multiply
    98,186.94x = 147,277.48 × 27,113.90
  4. Step 4: Simplify right side
    98,186.94x = 3,993,266,864.97
  5. Step 5: Solve for x
    x = 3,993,266,864.97/98,186.94
  6. Step 6: Final answer
    x = 40,670.04

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Why These Related Problems?

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