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Finding the Fourth Proportional to 152,852.72, 210,936.84 and 85,784.72

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Solution

The fourth proportional to 152,852.72, 210,936.84 and 85,784.72 is: 118,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,852.72 : 210,936.84 = 85,784.72 : x
  2. Step 2: Convert to fraction form
    152,852.72/210,936.84 = 85,784.72/x
  3. Step 3: Cross multiply
    152,852.72x = 210,936.84 × 85,784.72
  4. Step 4: Simplify right side
    152,852.72x = 18,095,157,757.08
  5. Step 5: Solve for x
    x = 18,095,157,757.08/152,852.72
  6. Step 6: Final answer
    x = 118,382.96

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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.