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Finding the Fourth Proportional to 149,692.96, 224,635.80 and 59,720.31

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Solution

The fourth proportional to 149,692.96, 224,635.80 and 59,720.31 is: 89,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,692.96 : 224,635.80 = 59,720.31 : x
  2. Step 2: Convert to fraction form
    149,692.96/224,635.80 = 59,720.31/x
  3. Step 3: Cross multiply
    149,692.96x = 224,635.80 × 59,720.31
  4. Step 4: Simplify right side
    149,692.96x = 13,415,319,837.05
  5. Step 5: Solve for x
    x = 13,415,319,837.05/149,692.96
  6. Step 6: Final answer
    x = 89,618.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.