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Finding the Fourth Proportional to 109,985.60, 164,978.40 and 36,113.60

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Solution

The fourth proportional to 109,985.60, 164,978.40 and 36,113.60 is: 54,170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,985.60 : 164,978.40 = 36,113.60 : x
  2. Step 2: Convert to fraction form
    109,985.60/164,978.40 = 36,113.60/x
  3. Step 3: Cross multiply
    109,985.60x = 164,978.40 × 36,113.60
  4. Step 4: Simplify right side
    109,985.60x = 5,957,963,946.24
  5. Step 5: Solve for x
    x = 5,957,963,946.24/109,985.60
  6. Step 6: Final answer
    x = 54,170.40

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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.