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Finding the Fourth Proportional to 104,679.84, 144,454.02 and 56,933.16

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Solution

The fourth proportional to 104,679.84, 144,454.02 and 56,933.16 is: 78,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,679.84 : 144,454.02 = 56,933.16 : x
  2. Step 2: Convert to fraction form
    104,679.84/144,454.02 = 56,933.16/x
  3. Step 3: Cross multiply
    104,679.84x = 144,454.02 × 56,933.16
  4. Step 4: Simplify right side
    104,679.84x = 8,224,223,833.30
  5. Step 5: Solve for x
    x = 8,224,223,833.30/104,679.84
  6. Step 6: Final answer
    x = 78,565.50

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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.