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Finding the Fourth Proportional to 164,099.45, 245,657.10 and 97,505.30

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Solution

The fourth proportional to 164,099.45, 245,657.10 and 97,505.30 is: 145,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,099.45 : 245,657.10 = 97,505.30 : x
  2. Step 2: Convert to fraction form
    164,099.45/245,657.10 = 97,505.30/x
  3. Step 3: Cross multiply
    164,099.45x = 245,657.10 × 97,505.30
  4. Step 4: Simplify right side
    164,099.45x = 23,952,869,232.63
  5. Step 5: Solve for x
    x = 23,952,869,232.63/164,099.45
  6. Step 6: Final answer
    x = 145,965.57

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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.