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Finding the Fourth Proportional to 101,602.40, 152,295.60 and 48,977.60

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Solution

The fourth proportional to 101,602.40, 152,295.60 and 48,977.60 is: 73,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,602.40 : 152,295.60 = 48,977.60 : x
  2. Step 2: Convert to fraction form
    101,602.40/152,295.60 = 48,977.60/x
  3. Step 3: Cross multiply
    101,602.40x = 152,295.60 × 48,977.60
  4. Step 4: Simplify right side
    101,602.40x = 7,459,072,978.56
  5. Step 5: Solve for x
    x = 7,459,072,978.56/101,602.40
  6. Step 6: Final answer
    x = 73,414.34

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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.