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Finding the Fourth Proportional to 257,477.34, 386,151.37 and 122,458.09

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Solution

The fourth proportional to 257,477.34, 386,151.37 and 122,458.09 is: 183,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,477.34 : 386,151.37 = 122,458.09 : x
  2. Step 2: Convert to fraction form
    257,477.34/386,151.37 = 122,458.09/x
  3. Step 3: Cross multiply
    257,477.34x = 386,151.37 × 122,458.09
  4. Step 4: Simplify right side
    257,477.34x = 47,287,359,221.08
  5. Step 5: Solve for x
    x = 47,287,359,221.08/257,477.34
  6. Step 6: Final answer
    x = 183,656.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.