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Finding the Fourth Proportional to 145,866.03, 201,292.34 and 82,202.55

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Solution

The fourth proportional to 145,866.03, 201,292.34 and 82,202.55 is: 113,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,866.03 : 201,292.34 = 82,202.55 : x
  2. Step 2: Convert to fraction form
    145,866.03/201,292.34 = 82,202.55/x
  3. Step 3: Cross multiply
    145,866.03x = 201,292.34 × 82,202.55
  4. Step 4: Simplify right side
    145,866.03x = 16,546,743,232.45
  5. Step 5: Solve for x
    x = 16,546,743,232.45/145,866.03
  6. Step 6: Final answer
    x = 113,437.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.