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Finding the Fourth Proportional to 217,952.64, 300,767.04 and 133,211.52

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Solution

The fourth proportional to 217,952.64, 300,767.04 and 133,211.52 is: 183,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,952.64 : 300,767.04 = 133,211.52 : x
  2. Step 2: Convert to fraction form
    217,952.64/300,767.04 = 133,211.52/x
  3. Step 3: Cross multiply
    217,952.64x = 300,767.04 × 133,211.52
  4. Step 4: Simplify right side
    217,952.64x = 40,065,634,564.30
  5. Step 5: Solve for x
    x = 40,065,634,564.30/217,952.64
  6. Step 6: Final answer
    x = 183,827.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.