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Finding the Fourth Proportional to 152,692.54, 229,038.82 and 82,708.54

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Solution

The fourth proportional to 152,692.54, 229,038.82 and 82,708.54 is: 124,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,692.54 : 229,038.82 = 82,708.54 : x
  2. Step 2: Convert to fraction form
    152,692.54/229,038.82 = 82,708.54/x
  3. Step 3: Cross multiply
    152,692.54x = 229,038.82 × 82,708.54
  4. Step 4: Simplify right side
    152,692.54x = 18,943,466,914.50
  5. Step 5: Solve for x
    x = 18,943,466,914.50/152,692.54
  6. Step 6: Final answer
    x = 124,062.82

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