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Finding the Fourth Proportional to 210,367.46, 315,317.45 and 160,282.44

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Solution

The fourth proportional to 210,367.46, 315,317.45 and 160,282.44 is: 240,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,367.46 : 315,317.45 = 160,282.44 : x
  2. Step 2: Convert to fraction form
    210,367.46/315,317.45 = 160,282.44/x
  3. Step 3: Cross multiply
    210,367.46x = 315,317.45 × 160,282.44
  4. Step 4: Simplify right side
    210,367.46x = 50,539,849,459.17
  5. Step 5: Solve for x
    x = 50,539,849,459.17/210,367.46
  6. Step 6: Final answer
    x = 240,245.57

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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.