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Finding the Fourth Proportional to 147,153, 203,057.10 and 82,607.48

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Solution

The fourth proportional to 147,153, 203,057.10 and 82,607.48 is: 113,990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,153 : 203,057.10 = 82,607.48 : x
  2. Step 2: Convert to fraction form
    147,153/203,057.10 = 82,607.48/x
  3. Step 3: Cross multiply
    147,153x = 203,057.10 × 82,607.48
  4. Step 4: Simplify right side
    147,153x = 16,774,035,327.11
  5. Step 5: Solve for x
    x = 16,774,035,327.11/147,153
  6. Step 6: Final answer
    x = 113,990.44

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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.