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Finding the Fourth Proportional to 177,638, 245,140.44 and 102,186.50

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Solution

The fourth proportional to 177,638, 245,140.44 and 102,186.50 is: 141,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,638 : 245,140.44 = 102,186.50 : x
  2. Step 2: Convert to fraction form
    177,638/245,140.44 = 102,186.50/x
  3. Step 3: Cross multiply
    177,638x = 245,140.44 × 102,186.50
  4. Step 4: Simplify right side
    177,638x = 25,050,043,572.06
  5. Step 5: Solve for x
    x = 25,050,043,572.06/177,638
  6. Step 6: Final answer
    x = 141,017.37

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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.