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Finding the Fourth Proportional to 147,140, 203,039.16 and 82,594.46

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Solution

The fourth proportional to 147,140, 203,039.16 and 82,594.46 is: 113,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,140 : 203,039.16 = 82,594.46 : x
  2. Step 2: Convert to fraction form
    147,140/203,039.16 = 82,594.46/x
  3. Step 3: Cross multiply
    147,140x = 203,039.16 × 82,594.46
  4. Step 4: Simplify right side
    147,140x = 16,769,909,779.05
  5. Step 5: Solve for x
    x = 16,769,909,779.05/147,140
  6. Step 6: Final answer
    x = 113,972.47

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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.