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Finding the Fourth Proportional to 109,393.40, 164,090.10 and 97,583.60

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Solution

The fourth proportional to 109,393.40, 164,090.10 and 97,583.60 is: 146,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,393.40 : 164,090.10 = 97,583.60 : x
  2. Step 2: Convert to fraction form
    109,393.40/164,090.10 = 97,583.60/x
  3. Step 3: Cross multiply
    109,393.40x = 164,090.10 × 97,583.60
  4. Step 4: Simplify right side
    109,393.40x = 16,012,502,682.36
  5. Step 5: Solve for x
    x = 16,012,502,682.36/109,393.40
  6. Step 6: Final answer
    x = 146,375.40

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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.