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Finding the Fourth Proportional to 119,206.92, 178,810.54 and 30,460.51

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Solution

The fourth proportional to 119,206.92, 178,810.54 and 30,460.51 is: 45,690.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,206.92 : 178,810.54 = 30,460.51 : x
  2. Step 2: Convert to fraction form
    119,206.92/178,810.54 = 30,460.51/x
  3. Step 3: Cross multiply
    119,206.92x = 178,810.54 × 30,460.51
  4. Step 4: Simplify right side
    119,206.92x = 5,446,660,892.04
  5. Step 5: Solve for x
    x = 5,446,660,892.04/119,206.92
  6. Step 6: Final answer
    x = 45,690.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.