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Finding the Fourth Proportional to 140,468.96, 210,814.14 and 61,637.60

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Solution

The fourth proportional to 140,468.96, 210,814.14 and 61,637.60 is: 92,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,468.96 : 210,814.14 = 61,637.60 : x
  2. Step 2: Convert to fraction form
    140,468.96/210,814.14 = 61,637.60/x
  3. Step 3: Cross multiply
    140,468.96x = 210,814.14 × 61,637.60
  4. Step 4: Simplify right side
    140,468.96x = 12,994,077,635.66
  5. Step 5: Solve for x
    x = 12,994,077,635.66/140,468.96
  6. Step 6: Final answer
    x = 92,504.98

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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.