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Finding the Fourth Proportional to 183,109.64, 252,670.42 and 102,525.96

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Solution

The fourth proportional to 183,109.64, 252,670.42 and 102,525.96 is: 141,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,109.64 : 252,670.42 = 102,525.96 : x
  2. Step 2: Convert to fraction form
    183,109.64/252,670.42 = 102,525.96/x
  3. Step 3: Cross multiply
    183,109.64x = 252,670.42 × 102,525.96
  4. Step 4: Simplify right side
    183,109.64x = 25,905,277,374.10
  5. Step 5: Solve for x
    x = 25,905,277,374.10/183,109.64
  6. Step 6: Final answer
    x = 141,474.13

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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.