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Finding the Fourth Proportional to 403,070.80, 604,606.20 and 137,131.60

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Solution

The fourth proportional to 403,070.80, 604,606.20 and 137,131.60 is: 205,697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,070.80 : 604,606.20 = 137,131.60 : x
  2. Step 2: Convert to fraction form
    403,070.80/604,606.20 = 137,131.60/x
  3. Step 3: Cross multiply
    403,070.80x = 604,606.20 × 137,131.60
  4. Step 4: Simplify right side
    403,070.80x = 82,910,615,575.92
  5. Step 5: Solve for x
    x = 82,910,615,575.92/403,070.80
  6. Step 6: Final answer
    x = 205,697.40

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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.