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Finding the Fourth Proportional to 140,970.75, 211,495.16 and 65,092.45

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Solution

The fourth proportional to 140,970.75, 211,495.16 and 65,092.45 is: 97,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,970.75 : 211,495.16 = 65,092.45 : x
  2. Step 2: Convert to fraction form
    140,970.75/211,495.16 = 65,092.45/x
  3. Step 3: Cross multiply
    140,970.75x = 211,495.16 × 65,092.45
  4. Step 4: Simplify right side
    140,970.75x = 13,766,738,127.54
  5. Step 5: Solve for x
    x = 13,766,738,127.54/140,970.75
  6. Step 6: Final answer
    x = 97,656.70

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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.