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Finding the Fourth Proportional to 175,897.50, 263,846.25 and 77,401.50

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Solution

The fourth proportional to 175,897.50, 263,846.25 and 77,401.50 is: 116,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,897.50 : 263,846.25 = 77,401.50 : x
  2. Step 2: Convert to fraction form
    175,897.50/263,846.25 = 77,401.50/x
  3. Step 3: Cross multiply
    175,897.50x = 263,846.25 × 77,401.50
  4. Step 4: Simplify right side
    175,897.50x = 20,422,095,519.38
  5. Step 5: Solve for x
    x = 20,422,095,519.38/175,897.50
  6. Step 6: Final answer
    x = 116,102.25

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