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Finding the Fourth Proportional to 272,204.25, 375,641.87 and 152,972.25

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Solution

The fourth proportional to 272,204.25, 375,641.87 and 152,972.25 is: 211,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,204.25 : 375,641.87 = 152,972.25 : x
  2. Step 2: Convert to fraction form
    272,204.25/375,641.87 = 152,972.25/x
  3. Step 3: Cross multiply
    272,204.25x = 375,641.87 × 152,972.25
  4. Step 4: Simplify right side
    272,204.25x = 57,462,781,283.25
  5. Step 5: Solve for x
    x = 57,462,781,283.25/272,204.25
  6. Step 6: Final answer
    x = 211,101.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.