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Finding the Fourth Proportional to 464,493.81, 696,857.80 and 132,069.81

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Solution

The fourth proportional to 464,493.81, 696,857.80 and 132,069.81 is: 198,138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,493.81 : 696,857.80 = 132,069.81 : x
  2. Step 2: Convert to fraction form
    464,493.81/696,857.80 = 132,069.81/x
  3. Step 3: Cross multiply
    464,493.81x = 696,857.80 × 132,069.81
  4. Step 4: Simplify right side
    464,493.81x = 92,033,877,243.02
  5. Step 5: Solve for x
    x = 92,033,877,243.02/464,493.81
  6. Step 6: Final answer
    x = 198,138.01

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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.