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Finding the Fourth Proportional to 253,740.84, 350,157.54 and 140,564.52

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Solution

The fourth proportional to 253,740.84, 350,157.54 and 140,564.52 is: 193,976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,740.84 : 350,157.54 = 140,564.52 : x
  2. Step 2: Convert to fraction form
    253,740.84/350,157.54 = 140,564.52/x
  3. Step 3: Cross multiply
    253,740.84x = 350,157.54 × 140,564.52
  4. Step 4: Simplify right side
    253,740.84x = 49,219,726,534.48
  5. Step 5: Solve for x
    x = 49,219,726,534.48/253,740.84
  6. Step 6: Final answer
    x = 193,976.37

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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.