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Finding the Fourth Proportional to 186,577.32, 257,469.12 and 101,692.56

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Solution

The fourth proportional to 186,577.32, 257,469.12 and 101,692.56 is: 140,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,577.32 : 257,469.12 = 101,692.56 : x
  2. Step 2: Convert to fraction form
    186,577.32/257,469.12 = 101,692.56/x
  3. Step 3: Cross multiply
    186,577.32x = 257,469.12 × 101,692.56
  4. Step 4: Simplify right side
    186,577.32x = 26,182,693,933.75
  5. Step 5: Solve for x
    x = 26,182,693,933.75/186,577.32
  6. Step 6: Final answer
    x = 140,331.60

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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.