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Finding the Fourth Proportional to 227,151.54, 313,476.21 and 130,373.01

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Solution

The fourth proportional to 227,151.54, 313,476.21 and 130,373.01 is: 179,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,151.54 : 313,476.21 = 130,373.01 : x
  2. Step 2: Convert to fraction form
    227,151.54/313,476.21 = 130,373.01/x
  3. Step 3: Cross multiply
    227,151.54x = 313,476.21 × 130,373.01
  4. Step 4: Simplify right side
    227,151.54x = 40,868,837,061.09
  5. Step 5: Solve for x
    x = 40,868,837,061.09/227,151.54
  6. Step 6: Final answer
    x = 179,918.82

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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.