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Finding the Fourth Proportional to 257,193.77, 354,933.09 and 146,810.14

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Solution

The fourth proportional to 257,193.77, 354,933.09 and 146,810.14 is: 202,601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,193.77 : 354,933.09 = 146,810.14 : x
  2. Step 2: Convert to fraction form
    257,193.77/354,933.09 = 146,810.14/x
  3. Step 3: Cross multiply
    257,193.77x = 354,933.09 × 146,810.14
  4. Step 4: Simplify right side
    257,193.77x = 52,107,775,746.20
  5. Step 5: Solve for x
    x = 52,107,775,746.20/257,193.77
  6. Step 6: Final answer
    x = 202,601.24

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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.