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Finding the Fourth Proportional to 119,105.10, 178,653.38 and 30,357.86

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Solution

The fourth proportional to 119,105.10, 178,653.38 and 30,357.86 is: 45,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,105.10 : 178,653.38 = 30,357.86 : x
  2. Step 2: Convert to fraction form
    119,105.10/178,653.38 = 30,357.86/x
  3. Step 3: Cross multiply
    119,105.10x = 178,653.38 × 30,357.86
  4. Step 4: Simplify right side
    119,105.10x = 5,423,533,253.51
  5. Step 5: Solve for x
    x = 5,423,533,253.51/119,105.10
  6. Step 6: Final answer
    x = 45,535.69

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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.