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Finding the Fourth Proportional to 467,998.52, 702,102.78 and 148,169.51

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Solution

The fourth proportional to 467,998.52, 702,102.78 and 148,169.51 is: 222,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,998.52 : 702,102.78 = 148,169.51 : x
  2. Step 2: Convert to fraction form
    467,998.52/702,102.78 = 148,169.51/x
  3. Step 3: Cross multiply
    467,998.52x = 702,102.78 × 148,169.51
  4. Step 4: Simplify right side
    467,998.52x = 104,030,221,703.78
  5. Step 5: Solve for x
    x = 104,030,221,703.78/467,998.52
  6. Step 6: Final answer
    x = 222,287.50

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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.