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Finding the Fourth Proportional to 286,232.84, 429,320.10 and 75,892.04

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Solution

The fourth proportional to 286,232.84, 429,320.10 and 75,892.04 is: 113,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,232.84 : 429,320.10 = 75,892.04 : x
  2. Step 2: Convert to fraction form
    286,232.84/429,320.10 = 75,892.04/x
  3. Step 3: Cross multiply
    286,232.84x = 429,320.10 × 75,892.04
  4. Step 4: Simplify right side
    286,232.84x = 32,581,978,202.00
  5. Step 5: Solve for x
    x = 32,581,978,202.00/286,232.84
  6. Step 6: Final answer
    x = 113,830.33

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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.