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Finding the Fourth Proportional to 237,461.68, 355,627.16 and 137,410.96

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Solution

The fourth proportional to 237,461.68, 355,627.16 and 137,410.96 is: 205,789.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,461.68 : 355,627.16 = 137,410.96 : x
  2. Step 2: Convert to fraction form
    237,461.68/355,627.16 = 137,410.96/x
  3. Step 3: Cross multiply
    237,461.68x = 355,627.16 × 137,410.96
  4. Step 4: Simplify right side
    237,461.68x = 48,867,069,457.67
  5. Step 5: Solve for x
    x = 48,867,069,457.67/237,461.68
  6. Step 6: Final answer
    x = 205,789.29

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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.