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Finding the Fourth Proportional to 152,761.50, 210,812.25 and 92,372.50

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Solution

The fourth proportional to 152,761.50, 210,812.25 and 92,372.50 is: 127,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,761.50 : 210,812.25 = 92,372.50 : x
  2. Step 2: Convert to fraction form
    152,761.50/210,812.25 = 92,372.50/x
  3. Step 3: Cross multiply
    152,761.50x = 210,812.25 × 92,372.50
  4. Step 4: Simplify right side
    152,761.50x = 19,473,254,563.13
  5. Step 5: Solve for x
    x = 19,473,254,563.13/152,761.50
  6. Step 6: Final answer
    x = 127,474.88

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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.