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Finding the Fourth Proportional to 98,114.25, 147,224.54 and 75,970.88

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Solution

The fourth proportional to 98,114.25, 147,224.54 and 75,970.88 is: 113,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,114.25 : 147,224.54 = 75,970.88 : x
  2. Step 2: Convert to fraction form
    98,114.25/147,224.54 = 75,970.88/x
  3. Step 3: Cross multiply
    98,114.25x = 147,224.54 × 75,970.88
  4. Step 4: Simplify right side
    98,114.25x = 11,184,776,745.42
  5. Step 5: Solve for x
    x = 11,184,776,745.42/98,114.25
  6. Step 6: Final answer
    x = 113,997.47

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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.