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Finding the Fourth Proportional to 174,473.86, 240,754.80 and 97,977.46

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Solution

The fourth proportional to 174,473.86, 240,754.80 and 97,977.46 is: 135,198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,473.86 : 240,754.80 = 97,977.46 : x
  2. Step 2: Convert to fraction form
    174,473.86/240,754.80 = 97,977.46/x
  3. Step 3: Cross multiply
    174,473.86x = 240,754.80 × 97,977.46
  4. Step 4: Simplify right side
    174,473.86x = 23,588,543,786.81
  5. Step 5: Solve for x
    x = 23,588,543,786.81/174,473.86
  6. Step 6: Final answer
    x = 135,198.15

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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.