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Finding the Fourth Proportional to 253,455.80, 349,785.24 and 146,023.88

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Solution

The fourth proportional to 253,455.80, 349,785.24 and 146,023.88 is: 201,522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,455.80 : 349,785.24 = 146,023.88 : x
  2. Step 2: Convert to fraction form
    253,455.80/349,785.24 = 146,023.88/x
  3. Step 3: Cross multiply
    253,455.80x = 349,785.24 × 146,023.88
  4. Step 4: Simplify right side
    253,455.80x = 51,076,997,911.53
  5. Step 5: Solve for x
    x = 51,076,997,911.53/253,455.80
  6. Step 6: Final answer
    x = 201,522.31

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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.