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Finding the Fourth Proportional to 98,992.64, 148,533.11 and 45,655.94

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Solution

The fourth proportional to 98,992.64, 148,533.11 and 45,655.94 is: 68,504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,992.64 : 148,533.11 = 45,655.94 : x
  2. Step 2: Convert to fraction form
    98,992.64/148,533.11 = 45,655.94/x
  3. Step 3: Cross multiply
    98,992.64x = 148,533.11 × 45,655.94
  4. Step 4: Simplify right side
    98,992.64x = 6,781,418,758.17
  5. Step 5: Solve for x
    x = 6,781,418,758.17/98,992.64
  6. Step 6: Final answer
    x = 68,504.27

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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.