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Finding the Fourth Proportional to 228,024, 314,692.50 and 132,524.52

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Solution

The fourth proportional to 228,024, 314,692.50 and 132,524.52 is: 182,895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,024 : 314,692.50 = 132,524.52 : x
  2. Step 2: Convert to fraction form
    228,024/314,692.50 = 132,524.52/x
  3. Step 3: Cross multiply
    228,024x = 314,692.50 × 132,524.52
  4. Step 4: Simplify right side
    228,024x = 41,704,472,510.10
  5. Step 5: Solve for x
    x = 41,704,472,510.10/228,024
  6. Step 6: Final answer
    x = 182,895.10

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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.