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Finding the Fourth Proportional to 210,089.60, 289,916.48 and 125,205.12

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Solution

The fourth proportional to 210,089.60, 289,916.48 and 125,205.12 is: 172,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,089.60 : 289,916.48 = 125,205.12 : x
  2. Step 2: Convert to fraction form
    210,089.60/289,916.48 = 125,205.12/x
  3. Step 3: Cross multiply
    210,089.60x = 289,916.48 × 125,205.12
  4. Step 4: Simplify right side
    210,089.60x = 36,299,027,668.38
  5. Step 5: Solve for x
    x = 36,299,027,668.38/210,089.60
  6. Step 6: Final answer
    x = 172,778.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.