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Finding the Fourth Proportional to 151,575.44, 209,181.48 and 84,506

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Solution

The fourth proportional to 151,575.44, 209,181.48 and 84,506 is: 116,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,575.44 : 209,181.48 = 84,506 : x
  2. Step 2: Convert to fraction form
    151,575.44/209,181.48 = 84,506/x
  3. Step 3: Cross multiply
    151,575.44x = 209,181.48 × 84,506
  4. Step 4: Simplify right side
    151,575.44x = 17,677,090,148.88
  5. Step 5: Solve for x
    x = 17,677,090,148.88/151,575.44
  6. Step 6: Final answer
    x = 116,622.39

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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.