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Finding the Fourth Proportional to 309,631.50, 464,525.02 and 88,015.50

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Solution

The fourth proportional to 309,631.50, 464,525.02 and 88,015.50 is: 132,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,631.50 : 464,525.02 = 88,015.50 : x
  2. Step 2: Convert to fraction form
    309,631.50/464,525.02 = 88,015.50/x
  3. Step 3: Cross multiply
    309,631.50x = 464,525.02 × 88,015.50
  4. Step 4: Simplify right side
    309,631.50x = 40,885,401,897.81
  5. Step 5: Solve for x
    x = 40,885,401,897.81/309,631.50
  6. Step 6: Final answer
    x = 132,045.36

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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.