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Finding the Fourth Proportional to 178,670.68, 268,009.46 and 43,735.91

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Solution

The fourth proportional to 178,670.68, 268,009.46 and 43,735.91 is: 65,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,670.68 : 268,009.46 = 43,735.91 : x
  2. Step 2: Convert to fraction form
    178,670.68/268,009.46 = 43,735.91/x
  3. Step 3: Cross multiply
    178,670.68x = 268,009.46 × 43,735.91
  4. Step 4: Simplify right side
    178,670.68x = 11,721,637,621.71
  5. Step 5: Solve for x
    x = 11,721,637,621.71/178,670.68
  6. Step 6: Final answer
    x = 65,604.71

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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.