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Finding the Fourth Proportional to 147,563.82, 203,617.53 and 83,894.58

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Solution

The fourth proportional to 147,563.82, 203,617.53 and 83,894.58 is: 115,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,563.82 : 203,617.53 = 83,894.58 : x
  2. Step 2: Convert to fraction form
    147,563.82/203,617.53 = 83,894.58/x
  3. Step 3: Cross multiply
    147,563.82x = 203,617.53 × 83,894.58
  4. Step 4: Simplify right side
    147,563.82x = 17,082,407,159.99
  5. Step 5: Solve for x
    x = 17,082,407,159.99/147,563.82
  6. Step 6: Final answer
    x = 115,762.84

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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.