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Finding the Fourth Proportional to 219,752, 329,693.52 and 155,833.28

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Solution

The fourth proportional to 219,752, 329,693.52 and 155,833.28 is: 233,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,752 : 329,693.52 = 155,833.28 : x
  2. Step 2: Convert to fraction form
    219,752/329,693.52 = 155,833.28/x
  3. Step 3: Cross multiply
    219,752x = 329,693.52 × 155,833.28
  4. Step 4: Simplify right side
    219,752x = 51,377,222,616.35
  5. Step 5: Solve for x
    x = 51,377,222,616.35/219,752
  6. Step 6: Final answer
    x = 233,796.38

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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.