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Finding the Fourth Proportional to 109,723.60, 148,243.50 and 109,723.60

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Solution

The fourth proportional to 109,723.60, 148,243.50 and 109,723.60 is: 148,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,723.60 : 148,243.50 = 109,723.60 : x
  2. Step 2: Convert to fraction form
    109,723.60/148,243.50 = 109,723.60/x
  3. Step 3: Cross multiply
    109,723.60x = 148,243.50 × 109,723.60
  4. Step 4: Simplify right side
    109,723.60x = 16,265,810,496.60
  5. Step 5: Solve for x
    x = 16,265,810,496.60/109,723.60
  6. Step 6: Final answer
    x = 148,243.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.