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Finding the Fourth Proportional to 236,182.56, 354,196.80 and 78,368.64

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Solution

The fourth proportional to 236,182.56, 354,196.80 and 78,368.64 is: 117,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,182.56 : 354,196.80 = 78,368.64 : x
  2. Step 2: Convert to fraction form
    236,182.56/354,196.80 = 78,368.64/x
  3. Step 3: Cross multiply
    236,182.56x = 354,196.80 × 78,368.64
  4. Step 4: Simplify right side
    236,182.56x = 27,757,921,508.35
  5. Step 5: Solve for x
    x = 27,757,921,508.35/236,182.56
  6. Step 6: Final answer
    x = 117,527.40

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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.