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Finding the Fourth Proportional to 195,502.50, 293,256.64 and 47,758.50

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Solution

The fourth proportional to 195,502.50, 293,256.64 and 47,758.50 is: 71,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,502.50 : 293,256.64 = 47,758.50 : x
  2. Step 2: Convert to fraction form
    195,502.50/293,256.64 = 47,758.50/x
  3. Step 3: Cross multiply
    195,502.50x = 293,256.64 × 47,758.50
  4. Step 4: Simplify right side
    195,502.50x = 14,005,497,241.44
  5. Step 5: Solve for x
    x = 14,005,497,241.44/195,502.50
  6. Step 6: Final answer
    x = 71,638.46

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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.