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Finding the Fourth Proportional to 235,188.32, 324,565.90 and 127,764.50

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Solution

The fourth proportional to 235,188.32, 324,565.90 and 127,764.50 is: 176,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,188.32 : 324,565.90 = 127,764.50 : x
  2. Step 2: Convert to fraction form
    235,188.32/324,565.90 = 127,764.50/x
  3. Step 3: Cross multiply
    235,188.32x = 324,565.90 × 127,764.50
  4. Step 4: Simplify right side
    235,188.32x = 41,467,999,930.55
  5. Step 5: Solve for x
    x = 41,467,999,930.55/235,188.32
  6. Step 6: Final answer
    x = 176,318.28

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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.