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Finding the Fourth Proportional to 272,003.90, 407,860.05 and 114,053.90

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Solution

The fourth proportional to 272,003.90, 407,860.05 and 114,053.90 is: 171,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,003.90 : 407,860.05 = 114,053.90 : x
  2. Step 2: Convert to fraction form
    272,003.90/407,860.05 = 114,053.90/x
  3. Step 3: Cross multiply
    272,003.90x = 407,860.05 × 114,053.90
  4. Step 4: Simplify right side
    272,003.90x = 46,518,029,356.70
  5. Step 5: Solve for x
    x = 46,518,029,356.70/272,003.90
  6. Step 6: Final answer
    x = 171,019.71

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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.