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Finding the Fourth Proportional to 109,966.60, 164,804.10 and 97,427.80

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Solution

The fourth proportional to 109,966.60, 164,804.10 and 97,427.80 is: 146,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,966.60 : 164,804.10 = 97,427.80 : x
  2. Step 2: Convert to fraction form
    109,966.60/164,804.10 = 97,427.80/x
  3. Step 3: Cross multiply
    109,966.60x = 164,804.10 × 97,427.80
  4. Step 4: Simplify right side
    109,966.60x = 16,056,500,893.98
  5. Step 5: Solve for x
    x = 16,056,500,893.98/109,966.60
  6. Step 6: Final answer
    x = 146,012.52

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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.