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Finding the Fourth Proportional to 272,046.40, 407,923.80 and 114,096.40

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Solution

The fourth proportional to 272,046.40, 407,923.80 and 114,096.40 is: 171,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,046.40 : 407,923.80 = 114,096.40 : x
  2. Step 2: Convert to fraction form
    272,046.40/407,923.80 = 114,096.40/x
  3. Step 3: Cross multiply
    272,046.40x = 407,923.80 × 114,096.40
  4. Step 4: Simplify right side
    272,046.40x = 46,542,637,054.32
  5. Step 5: Solve for x
    x = 46,542,637,054.32/272,046.40
  6. Step 6: Final answer
    x = 171,083.45

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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.