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Finding the Fourth Proportional to 101,484.21, 140,045.31 and 56,164.08

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Solution

The fourth proportional to 101,484.21, 140,045.31 and 56,164.08 is: 77,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,484.21 : 140,045.31 = 56,164.08 : x
  2. Step 2: Convert to fraction form
    101,484.21/140,045.31 = 56,164.08/x
  3. Step 3: Cross multiply
    101,484.21x = 140,045.31 × 56,164.08
  4. Step 4: Simplify right side
    101,484.21x = 7,865,515,994.46
  5. Step 5: Solve for x
    x = 7,865,515,994.46/101,484.21
  6. Step 6: Final answer
    x = 77,504.83

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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.