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Finding the Fourth Proportional to 97,765.02, 134,825.31 and 61,893.90

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Solution

The fourth proportional to 97,765.02, 134,825.31 and 61,893.90 is: 85,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,765.02 : 134,825.31 = 61,893.90 : x
  2. Step 2: Convert to fraction form
    97,765.02/134,825.31 = 61,893.90/x
  3. Step 3: Cross multiply
    97,765.02x = 134,825.31 × 61,893.90
  4. Step 4: Simplify right side
    97,765.02x = 8,344,864,254.61
  5. Step 5: Solve for x
    x = 8,344,864,254.61/97,765.02
  6. Step 6: Final answer
    x = 85,356.34

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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.