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Finding the Fourth Proportional to 140,254.88, 210,393.32 and 46,760.63

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Solution

The fourth proportional to 140,254.88, 210,393.32 and 46,760.63 is: 70,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,254.88 : 210,393.32 = 46,760.63 : x
  2. Step 2: Convert to fraction form
    140,254.88/210,393.32 = 46,760.63/x
  3. Step 3: Cross multiply
    140,254.88x = 210,393.32 × 46,760.63
  4. Step 4: Simplify right side
    140,254.88x = 9,838,122,905.22
  5. Step 5: Solve for x
    x = 9,838,122,905.22/140,254.88
  6. Step 6: Final answer
    x = 70,144.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.