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Finding the Fourth Proportional to 97,887.84, 146,826.72 and 57,383.84

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Solution

The fourth proportional to 97,887.84, 146,826.72 and 57,383.84 is: 86,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,887.84 : 146,826.72 = 57,383.84 : x
  2. Step 2: Convert to fraction form
    97,887.84/146,826.72 = 57,383.84/x
  3. Step 3: Cross multiply
    97,887.84x = 146,826.72 × 57,383.84
  4. Step 4: Simplify right side
    97,887.84x = 8,425,480,274.07
  5. Step 5: Solve for x
    x = 8,425,480,274.07/97,887.84
  6. Step 6: Final answer
    x = 86,072.80

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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.