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Finding the Fourth Proportional to 167,406.23, 250,895.80 and 78,463.77

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Solution

The fourth proportional to 167,406.23, 250,895.80 and 78,463.77 is: 117,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,406.23 : 250,895.80 = 78,463.77 : x
  2. Step 2: Convert to fraction form
    167,406.23/250,895.80 = 78,463.77/x
  3. Step 3: Cross multiply
    167,406.23x = 250,895.80 × 78,463.77
  4. Step 4: Simplify right side
    167,406.23x = 19,686,230,345.17
  5. Step 5: Solve for x
    x = 19,686,230,345.17/167,406.23
  6. Step 6: Final answer
    x = 117,595.57

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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.