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Finding the Fourth Proportional to 234,978.64, 324,261.72 and 127,546.36

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Solution

The fourth proportional to 234,978.64, 324,261.72 and 127,546.36 is: 176,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,978.64 : 324,261.72 = 127,546.36 : x
  2. Step 2: Convert to fraction form
    234,978.64/324,261.72 = 127,546.36/x
  3. Step 3: Cross multiply
    234,978.64x = 324,261.72 × 127,546.36
  4. Step 4: Simplify right side
    234,978.64x = 41,358,402,073.34
  5. Step 5: Solve for x
    x = 41,358,402,073.34/234,978.64
  6. Step 6: Final answer
    x = 176,009.20

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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.