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Finding the Fourth Proportional to 243,970.60, 365,783.10 and 110,914.60

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Solution

The fourth proportional to 243,970.60, 365,783.10 and 110,914.60 is: 166,293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,970.60 : 365,783.10 = 110,914.60 : x
  2. Step 2: Convert to fraction form
    243,970.60/365,783.10 = 110,914.60/x
  3. Step 3: Cross multiply
    243,970.60x = 365,783.10 × 110,914.60
  4. Step 4: Simplify right side
    243,970.60x = 40,570,686,223.26
  5. Step 5: Solve for x
    x = 40,570,686,223.26/243,970.60
  6. Step 6: Final answer
    x = 166,293.34

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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.