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Finding the Fourth Proportional to 119,506.68, 178,767.54 and 98,206.92

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Solution

The fourth proportional to 119,506.68, 178,767.54 and 98,206.92 is: 146,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,506.68 : 178,767.54 = 98,206.92 : x
  2. Step 2: Convert to fraction form
    119,506.68/178,767.54 = 98,206.92/x
  3. Step 3: Cross multiply
    119,506.68x = 178,767.54 × 98,206.92
  4. Step 4: Simplify right side
    119,506.68x = 17,556,209,499.38
  5. Step 5: Solve for x
    x = 17,556,209,499.38/119,506.68
  6. Step 6: Final answer
    x = 146,905.68

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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.