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Finding the Fourth Proportional to 119,256.10, 178,886 and 30,507.64

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Solution

The fourth proportional to 119,256.10, 178,886 and 30,507.64 is: 45,761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,256.10 : 178,886 = 30,507.64 : x
  2. Step 2: Convert to fraction form
    119,256.10/178,886 = 30,507.64/x
  3. Step 3: Cross multiply
    119,256.10x = 178,886 × 30,507.64
  4. Step 4: Simplify right side
    119,256.10x = 5,457,389,689.04
  5. Step 5: Solve for x
    x = 5,457,389,689.04/119,256.10
  6. Step 6: Final answer
    x = 45,761.93

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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.