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Finding the Fourth Proportional to 134,874.98, 202,338.48 and 51,762.50

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Solution

The fourth proportional to 134,874.98, 202,338.48 and 51,762.50 is: 77,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,874.98 : 202,338.48 = 51,762.50 : x
  2. Step 2: Convert to fraction form
    134,874.98/202,338.48 = 51,762.50/x
  3. Step 3: Cross multiply
    134,874.98x = 202,338.48 × 51,762.50
  4. Step 4: Simplify right side
    134,874.98x = 10,473,545,571
  5. Step 5: Solve for x
    x = 10,473,545,571/134,874.98
  6. Step 6: Final answer
    x = 77,653.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.