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Finding the Fourth Proportional to 235,172.88, 352,803.06 and 77,412.42

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Solution

The fourth proportional to 235,172.88, 352,803.06 and 77,412.42 is: 116,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,172.88 : 352,803.06 = 77,412.42 : x
  2. Step 2: Convert to fraction form
    235,172.88/352,803.06 = 77,412.42/x
  3. Step 3: Cross multiply
    235,172.88x = 352,803.06 × 77,412.42
  4. Step 4: Simplify right side
    235,172.88x = 27,311,336,893.99
  5. Step 5: Solve for x
    x = 27,311,336,893.99/235,172.88
  6. Step 6: Final answer
    x = 116,133.02

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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.