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Finding the Fourth Proportional to 152,565.84, 228,896.55 and 68,396.58

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Solution

The fourth proportional to 152,565.84, 228,896.55 and 68,396.58 is: 102,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,565.84 : 228,896.55 = 68,396.58 : x
  2. Step 2: Convert to fraction form
    152,565.84/228,896.55 = 68,396.58/x
  3. Step 3: Cross multiply
    152,565.84x = 228,896.55 × 68,396.58
  4. Step 4: Simplify right side
    152,565.84x = 15,655,741,193.80
  5. Step 5: Solve for x
    x = 15,655,741,193.80/152,565.84
  6. Step 6: Final answer
    x = 102,616.29

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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.