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Finding the Fourth Proportional to 101,784.33, 140,463.23 and 56,465.27

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Solution

The fourth proportional to 101,784.33, 140,463.23 and 56,465.27 is: 77,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,784.33 : 140,463.23 = 56,465.27 : x
  2. Step 2: Convert to fraction form
    101,784.33/140,463.23 = 56,465.27/x
  3. Step 3: Cross multiply
    101,784.33x = 140,463.23 × 56,465.27
  4. Step 4: Simplify right side
    101,784.33x = 7,931,293,222.38
  5. Step 5: Solve for x
    x = 7,931,293,222.38/101,784.33
  6. Step 6: Final answer
    x = 77,922.54

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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.