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Finding the Fourth Proportional to 210,070.38, 313,766.09 and 190,049

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Solution

The fourth proportional to 210,070.38, 313,766.09 and 190,049 is: 283,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,070.38 : 313,766.09 = 190,049 : x
  2. Step 2: Convert to fraction form
    210,070.38/313,766.09 = 190,049/x
  3. Step 3: Cross multiply
    210,070.38x = 313,766.09 × 190,049
  4. Step 4: Simplify right side
    210,070.38x = 59,630,931,638.41
  5. Step 5: Solve for x
    x = 59,630,931,638.41/210,070.38
  6. Step 6: Final answer
    x = 283,861.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.