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Finding the Fourth Proportional to 98,098.54, 147,235.28 and 45,537.64

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Solution

The fourth proportional to 98,098.54, 147,235.28 and 45,537.64 is: 68,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,098.54 : 147,235.28 = 45,537.64 : x
  2. Step 2: Convert to fraction form
    98,098.54/147,235.28 = 45,537.64/x
  3. Step 3: Cross multiply
    98,098.54x = 147,235.28 × 45,537.64
  4. Step 4: Simplify right side
    98,098.54x = 6,704,747,175.94
  5. Step 5: Solve for x
    x = 6,704,747,175.94/98,098.54
  6. Step 6: Final answer
    x = 68,347.06

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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.