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Finding the Fourth Proportional to 107,193.78, 147,893.34 and 61,865.76

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Solution

The fourth proportional to 107,193.78, 147,893.34 and 61,865.76 is: 85,355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,193.78 : 147,893.34 = 61,865.76 : x
  2. Step 2: Convert to fraction form
    107,193.78/147,893.34 = 61,865.76/x
  3. Step 3: Cross multiply
    107,193.78x = 147,893.34 × 61,865.76
  4. Step 4: Simplify right side
    107,193.78x = 9,149,533,878.04
  5. Step 5: Solve for x
    x = 9,149,533,878.04/107,193.78
  6. Step 6: Final answer
    x = 85,355.08

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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.