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Finding the Fourth Proportional to 109,978.80, 164,968.20 and 97,294.20

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Solution

The fourth proportional to 109,978.80, 164,968.20 and 97,294.20 is: 145,941.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,978.80 : 164,968.20 = 97,294.20 : x
  2. Step 2: Convert to fraction form
    109,978.80/164,968.20 = 97,294.20/x
  3. Step 3: Cross multiply
    109,978.80x = 164,968.20 × 97,294.20
  4. Step 4: Simplify right side
    109,978.80x = 16,050,449,044.44
  5. Step 5: Solve for x
    x = 16,050,449,044.44/109,978.80
  6. Step 6: Final answer
    x = 145,941.30

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1.5x scale

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.