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Finding the Fourth Proportional to 152,295.96, 210,168.90 and 82,445.26

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Solution

The fourth proportional to 152,295.96, 210,168.90 and 82,445.26 is: 113,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,295.96 : 210,168.90 = 82,445.26 : x
  2. Step 2: Convert to fraction form
    152,295.96/210,168.90 = 82,445.26/x
  3. Step 3: Cross multiply
    152,295.96x = 210,168.90 × 82,445.26
  4. Step 4: Simplify right side
    152,295.96x = 17,327,429,604.41
  5. Step 5: Solve for x
    x = 17,327,429,604.41/152,295.96
  6. Step 6: Final answer
    x = 113,774.72

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1.5x scale

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.