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Finding the Fourth Proportional to 235,645.76, 353,523.28 and 77,864.64

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Solution

The fourth proportional to 235,645.76, 353,523.28 and 77,864.64 is: 116,815.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,645.76 : 353,523.28 = 77,864.64 : x
  2. Step 2: Convert to fraction form
    235,645.76/353,523.28 = 77,864.64/x
  3. Step 3: Cross multiply
    235,645.76x = 353,523.28 × 77,864.64
  4. Step 4: Simplify right side
    235,645.76x = 27,526,962,928.82
  5. Step 5: Solve for x
    x = 27,526,962,928.82/235,645.76
  6. Step 6: Final answer
    x = 116,815.01

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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.