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Finding the Fourth Proportional to 164,362.56, 245,354.82 and 144,433.56

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Solution

The fourth proportional to 164,362.56, 245,354.82 and 144,433.56 is: 215,605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,362.56 : 245,354.82 = 144,433.56 : x
  2. Step 2: Convert to fraction form
    164,362.56/245,354.82 = 144,433.56/x
  3. Step 3: Cross multiply
    164,362.56x = 245,354.82 × 144,433.56
  4. Step 4: Simplify right side
    164,362.56x = 35,437,470,115.76
  5. Step 5: Solve for x
    x = 35,437,470,115.76/164,362.56
  6. Step 6: Final answer
    x = 215,605.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.