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Finding the Fourth Proportional to 464,495.82, 696,860.80 and 132,071.82

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Solution

The fourth proportional to 464,495.82, 696,860.80 and 132,071.82 is: 198,141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,495.82 : 696,860.80 = 132,071.82 : x
  2. Step 2: Convert to fraction form
    464,495.82/696,860.80 = 132,071.82/x
  3. Step 3: Cross multiply
    464,495.82x = 696,860.80 × 132,071.82
  4. Step 4: Simplify right side
    464,495.82x = 92,035,674,142.66
  5. Step 5: Solve for x
    x = 92,035,674,142.66/464,495.82
  6. Step 6: Final answer
    x = 198,141.02

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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.