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Finding the Fourth Proportional to 152,664, 210,676.32 and 85,596

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Solution

The fourth proportional to 152,664, 210,676.32 and 85,596 is: 118,122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,664 : 210,676.32 = 85,596 : x
  2. Step 2: Convert to fraction form
    152,664/210,676.32 = 85,596/x
  3. Step 3: Cross multiply
    152,664x = 210,676.32 × 85,596
  4. Step 4: Simplify right side
    152,664x = 18,033,050,286.72
  5. Step 5: Solve for x
    x = 18,033,050,286.72/152,664
  6. Step 6: Final answer
    x = 118,122.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.