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Finding the Fourth Proportional to 119,507.68, 178,769.04 and 98,207.92

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Solution

The fourth proportional to 119,507.68, 178,769.04 and 98,207.92 is: 146,907.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,507.68 : 178,769.04 = 98,207.92 : x
  2. Step 2: Convert to fraction form
    119,507.68/178,769.04 = 98,207.92/x
  3. Step 3: Cross multiply
    119,507.68x = 178,769.04 × 98,207.92
  4. Step 4: Simplify right side
    119,507.68x = 17,556,535,578.80
  5. Step 5: Solve for x
    x = 17,556,535,578.80/119,507.68
  6. Step 6: Final answer
    x = 146,907.17

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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.