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Finding the Fourth Proportional to 152,822.50, 210,914.49 and 85,754.50

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Solution

The fourth proportional to 152,822.50, 210,914.49 and 85,754.50 is: 118,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,822.50 : 210,914.49 = 85,754.50 : x
  2. Step 2: Convert to fraction form
    152,822.50/210,914.49 = 85,754.50/x
  3. Step 3: Cross multiply
    152,822.50x = 210,914.49 × 85,754.50
  4. Step 4: Simplify right side
    152,822.50x = 18,086,866,632.71
  5. Step 5: Solve for x
    x = 18,086,866,632.71/152,822.50
  6. Step 6: Final answer
    x = 118,352.12

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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.