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Finding the Fourth Proportional to 219,295.32, 328,839.27 and 100,931.64

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Solution

The fourth proportional to 219,295.32, 328,839.27 and 100,931.64 is: 151,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,295.32 : 328,839.27 = 100,931.64 : x
  2. Step 2: Convert to fraction form
    219,295.32/328,839.27 = 100,931.64/x
  3. Step 3: Cross multiply
    219,295.32x = 328,839.27 × 100,931.64
  4. Step 4: Simplify right side
    219,295.32x = 33,190,286,817.50
  5. Step 5: Solve for x
    x = 33,190,286,817.50/219,295.32
  6. Step 6: Final answer
    x = 151,349.73

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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.