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Finding the Fourth Proportional to 133,686.53, 200,574.46 and 43,733.35

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Solution

The fourth proportional to 133,686.53, 200,574.46 and 43,733.35 is: 65,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,686.53 : 200,574.46 = 43,733.35 : x
  2. Step 2: Convert to fraction form
    133,686.53/200,574.46 = 43,733.35/x
  3. Step 3: Cross multiply
    133,686.53x = 200,574.46 × 43,733.35
  4. Step 4: Simplify right side
    133,686.53x = 8,771,791,948.04
  5. Step 5: Solve for x
    x = 8,771,791,948.04/133,686.53
  6. Step 6: Final answer
    x = 65,614.63

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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.