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Finding the Fourth Proportional to 133,814.66, 200,547.03 and 54,836.42

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Solution

The fourth proportional to 133,814.66, 200,547.03 and 54,836.42 is: 82,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,814.66 : 200,547.03 = 54,836.42 : x
  2. Step 2: Convert to fraction form
    133,814.66/200,547.03 = 54,836.42/x
  3. Step 3: Cross multiply
    133,814.66x = 200,547.03 × 54,836.42
  4. Step 4: Simplify right side
    133,814.66x = 10,997,281,166.83
  5. Step 5: Solve for x
    x = 10,997,281,166.83/133,814.66
  6. Step 6: Final answer
    x = 82,182.93

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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.