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Finding the Fourth Proportional to 201,459.36, 278,021.16 and 110,822.46

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Solution

The fourth proportional to 201,459.36, 278,021.16 and 110,822.46 is: 152,938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,459.36 : 278,021.16 = 110,822.46 : x
  2. Step 2: Convert to fraction form
    201,459.36/278,021.16 = 110,822.46/x
  3. Step 3: Cross multiply
    201,459.36x = 278,021.16 × 110,822.46
  4. Step 4: Simplify right side
    201,459.36x = 30,810,988,883.25
  5. Step 5: Solve for x
    x = 30,810,988,883.25/201,459.36
  6. Step 6: Final answer
    x = 152,938.98

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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.