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Finding the Fourth Proportional to 243,903.60, 365,746.05 and 110,715.30

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Solution

The fourth proportional to 243,903.60, 365,746.05 and 110,715.30 is: 166,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,903.60 : 365,746.05 = 110,715.30 : x
  2. Step 2: Convert to fraction form
    243,903.60/365,746.05 = 110,715.30/x
  3. Step 3: Cross multiply
    243,903.60x = 365,746.05 × 110,715.30
  4. Step 4: Simplify right side
    243,903.60x = 40,493,683,649.57
  5. Step 5: Solve for x
    x = 40,493,683,649.57/243,903.60
  6. Step 6: Final answer
    x = 166,023.31

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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.