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Finding the Fourth Proportional to 152,787.68, 210,865.20 and 85,729.76

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Solution

The fourth proportional to 152,787.68, 210,865.20 and 85,729.76 is: 118,317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,787.68 : 210,865.20 = 85,729.76 : x
  2. Step 2: Convert to fraction form
    152,787.68/210,865.20 = 85,729.76/x
  3. Step 3: Cross multiply
    152,787.68x = 210,865.20 × 85,729.76
  4. Step 4: Simplify right side
    152,787.68x = 18,077,422,988.35
  5. Step 5: Solve for x
    x = 18,077,422,988.35/152,787.68
  6. Step 6: Final answer
    x = 118,317.28

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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.