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Finding the Fourth Proportional to 241,983.42, 333,889.26 and 146,499

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Solution

The fourth proportional to 241,983.42, 333,889.26 and 146,499 is: 202,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,983.42 : 333,889.26 = 146,499 : x
  2. Step 2: Convert to fraction form
    241,983.42/333,889.26 = 146,499/x
  3. Step 3: Cross multiply
    241,983.42x = 333,889.26 × 146,499
  4. Step 4: Simplify right side
    241,983.42x = 48,914,442,700.74
  5. Step 5: Solve for x
    x = 48,914,442,700.74/241,983.42
  6. Step 6: Final answer
    x = 202,139.65

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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.