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Finding the Fourth Proportional to 286,185.70, 429,140.31 and 167,895.46

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Solution

The fourth proportional to 286,185.70, 429,140.31 and 167,895.46 is: 251,762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,185.70 : 429,140.31 = 167,895.46 : x
  2. Step 2: Convert to fraction form
    286,185.70/429,140.31 = 167,895.46/x
  3. Step 3: Cross multiply
    286,185.70x = 429,140.31 × 167,895.46
  4. Step 4: Simplify right side
    286,185.70x = 72,050,709,751.99
  5. Step 5: Solve for x
    x = 72,050,709,751.99/286,185.70
  6. Step 6: Final answer
    x = 251,762.09

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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.