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Finding the Fourth Proportional to 259,692.36, 358,380 and 152,339.76

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Solution

The fourth proportional to 259,692.36, 358,380 and 152,339.76 is: 210,231.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,692.36 : 358,380 = 152,339.76 : x
  2. Step 2: Convert to fraction form
    259,692.36/358,380 = 152,339.76/x
  3. Step 3: Cross multiply
    259,692.36x = 358,380 × 152,339.76
  4. Step 4: Simplify right side
    259,692.36x = 54,595,523,188.80
  5. Step 5: Solve for x
    x = 54,595,523,188.80/259,692.36
  6. Step 6: Final answer
    x = 210,231.53

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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.