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Finding the Fourth Proportional to 253,174.64, 349,380.06 and 142,784.52

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Solution

The fourth proportional to 253,174.64, 349,380.06 and 142,784.52 is: 197,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,174.64 : 349,380.06 = 142,784.52 : x
  2. Step 2: Convert to fraction form
    253,174.64/349,380.06 = 142,784.52/x
  3. Step 3: Cross multiply
    253,174.64x = 349,380.06 × 142,784.52
  4. Step 4: Simplify right side
    253,174.64x = 49,886,064,164.67
  5. Step 5: Solve for x
    x = 49,886,064,164.67/253,174.64
  6. Step 6: Final answer
    x = 197,042.11

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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.