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Finding the Fourth Proportional to 259,939.84, 358,696.96 and 146,773.76

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Solution

The fourth proportional to 259,939.84, 358,696.96 and 146,773.76 is: 202,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,939.84 : 358,696.96 = 146,773.76 : x
  2. Step 2: Convert to fraction form
    259,939.84/358,696.96 = 146,773.76/x
  3. Step 3: Cross multiply
    259,939.84x = 358,696.96 × 146,773.76
  4. Step 4: Simplify right side
    259,939.84x = 52,647,301,519.77
  5. Step 5: Solve for x
    x = 52,647,301,519.77/259,939.84
  6. Step 6: Final answer
    x = 202,536.49

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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.