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Finding the Fourth Proportional to 174,012.54, 260,978.01 and 98,143.92

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Solution

The fourth proportional to 174,012.54, 260,978.01 and 98,143.92 is: 147,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,012.54 : 260,978.01 = 98,143.92 : x
  2. Step 2: Convert to fraction form
    174,012.54/260,978.01 = 98,143.92/x
  3. Step 3: Cross multiply
    174,012.54x = 260,978.01 × 98,143.92
  4. Step 4: Simplify right side
    174,012.54x = 25,613,404,935.20
  5. Step 5: Solve for x
    x = 25,613,404,935.20/174,012.54
  6. Step 6: Final answer
    x = 147,192.87

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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.