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Finding the Fourth Proportional to 259,792.42, 358,475.10 and 157,764.82

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Solution

The fourth proportional to 259,792.42, 358,475.10 and 157,764.82 is: 217,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,792.42 : 358,475.10 = 157,764.82 : x
  2. Step 2: Convert to fraction form
    259,792.42/358,475.10 = 157,764.82/x
  3. Step 3: Cross multiply
    259,792.42x = 358,475.10 × 157,764.82
  4. Step 4: Simplify right side
    259,792.42x = 56,554,759,625.98
  5. Step 5: Solve for x
    x = 56,554,759,625.98/259,792.42
  6. Step 6: Final answer
    x = 217,692.11

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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.