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Finding the Fourth Proportional to 179,497.74, 247,705.78 and 97,825.88

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Solution

The fourth proportional to 179,497.74, 247,705.78 and 97,825.88 is: 134,999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,497.74 : 247,705.78 = 97,825.88 : x
  2. Step 2: Convert to fraction form
    179,497.74/247,705.78 = 97,825.88/x
  3. Step 3: Cross multiply
    179,497.74x = 247,705.78 × 97,825.88
  4. Step 4: Simplify right side
    179,497.74x = 24,232,035,909.59
  5. Step 5: Solve for x
    x = 24,232,035,909.59/179,497.74
  6. Step 6: Final answer
    x = 134,999.11

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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.