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Finding the Fourth Proportional to 156,585.75, 234,917.64 and 45,777.75

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Solution

The fourth proportional to 156,585.75, 234,917.64 and 45,777.75 is: 68,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,585.75 : 234,917.64 = 45,777.75 : x
  2. Step 2: Convert to fraction form
    156,585.75/234,917.64 = 45,777.75/x
  3. Step 3: Cross multiply
    156,585.75x = 234,917.64 × 45,777.75
  4. Step 4: Simplify right side
    156,585.75x = 10,754,000,994.51
  5. Step 5: Solve for x
    x = 10,754,000,994.51/156,585.75
  6. Step 6: Final answer
    x = 68,678.03

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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.