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Finding the Fourth Proportional to 180,670.41, 249,305.01 and 100,077.96

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Solution

The fourth proportional to 180,670.41, 249,305.01 and 100,077.96 is: 138,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,670.41 : 249,305.01 = 100,077.96 : x
  2. Step 2: Convert to fraction form
    180,670.41/249,305.01 = 100,077.96/x
  3. Step 3: Cross multiply
    180,670.41x = 249,305.01 × 100,077.96
  4. Step 4: Simplify right side
    180,670.41x = 24,949,936,818.58
  5. Step 5: Solve for x
    x = 24,949,936,818.58/180,670.41
  6. Step 6: Final answer
    x = 138,096.42

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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.