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Finding the Fourth Proportional to 180,414.80, 248,966.28 and 99,845.72

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Solution

The fourth proportional to 180,414.80, 248,966.28 and 99,845.72 is: 137,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,414.80 : 248,966.28 = 99,845.72 : x
  2. Step 2: Convert to fraction form
    180,414.80/248,966.28 = 99,845.72/x
  3. Step 3: Cross multiply
    180,414.80x = 248,966.28 × 99,845.72
  4. Step 4: Simplify right side
    180,414.80x = 24,858,217,482.32
  5. Step 5: Solve for x
    x = 24,858,217,482.32/180,414.80
  6. Step 6: Final answer
    x = 137,783.69

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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.