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Finding the Fourth Proportional to 192,006.48, 288,259.20 and 147,664.65

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Solution

The fourth proportional to 192,006.48, 288,259.20 and 147,664.65 is: 221,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,006.48 : 288,259.20 = 147,664.65 : x
  2. Step 2: Convert to fraction form
    192,006.48/288,259.20 = 147,664.65/x
  3. Step 3: Cross multiply
    192,006.48x = 288,259.20 × 147,664.65
  4. Step 4: Simplify right side
    192,006.48x = 42,565,693,877.28
  5. Step 5: Solve for x
    x = 42,565,693,877.28/192,006.48
  6. Step 6: Final answer
    x = 221,688.84

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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.