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Finding the Fourth Proportional to 253,260.68, 349,506.29 and 145,835.24

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Solution

The fourth proportional to 253,260.68, 349,506.29 and 145,835.24 is: 201,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,260.68 : 349,506.29 = 145,835.24 : x
  2. Step 2: Convert to fraction form
    253,260.68/349,506.29 = 145,835.24/x
  3. Step 3: Cross multiply
    253,260.68x = 349,506.29 × 145,835.24
  4. Step 4: Simplify right side
    253,260.68x = 50,970,332,300.72
  5. Step 5: Solve for x
    x = 50,970,332,300.72/253,260.68
  6. Step 6: Final answer
    x = 201,256.40

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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.