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Finding the Fourth Proportional to 134,833.85, 202,249.14 and 34,985.15

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Solution

The fourth proportional to 134,833.85, 202,249.14 and 34,985.15 is: 52,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,833.85 : 202,249.14 = 34,985.15 : x
  2. Step 2: Convert to fraction form
    134,833.85/202,249.14 = 34,985.15/x
  3. Step 3: Cross multiply
    134,833.85x = 202,249.14 × 34,985.15
  4. Step 4: Simplify right side
    134,833.85x = 7,075,715,489.03
  5. Step 5: Solve for x
    x = 7,075,715,489.03/134,833.85
  6. Step 6: Final answer
    x = 52,477.30

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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.