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Finding the Fourth Proportional to 174,032.80, 261,049.20 and 163,664.80

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Solution

The fourth proportional to 174,032.80, 261,049.20 and 163,664.80 is: 245,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,032.80 : 261,049.20 = 163,664.80 : x
  2. Step 2: Convert to fraction form
    174,032.80/261,049.20 = 163,664.80/x
  3. Step 3: Cross multiply
    174,032.80x = 261,049.20 × 163,664.80
  4. Step 4: Simplify right side
    174,032.80x = 42,724,565,108.16
  5. Step 5: Solve for x
    x = 42,724,565,108.16/174,032.80
  6. Step 6: Final answer
    x = 245,497.20

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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.