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Finding the Fourth Proportional to 224,659.47, 310,018.51 and 122,665.28

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Solution

The fourth proportional to 224,659.47, 310,018.51 and 122,665.28 is: 169,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,659.47 : 310,018.51 = 122,665.28 : x
  2. Step 2: Convert to fraction form
    224,659.47/310,018.51 = 122,665.28/x
  3. Step 3: Cross multiply
    224,659.47x = 310,018.51 × 122,665.28
  4. Step 4: Simplify right side
    224,659.47x = 38,028,507,100.14
  5. Step 5: Solve for x
    x = 38,028,507,100.14/224,659.47
  6. Step 6: Final answer
    x = 169,271.78

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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.