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Finding the Fourth Proportional to 302,938.47, 418,053.22 and 165,117.24

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Solution

The fourth proportional to 302,938.47, 418,053.22 and 165,117.24 is: 227,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,938.47 : 418,053.22 = 165,117.24 : x
  2. Step 2: Convert to fraction form
    302,938.47/418,053.22 = 165,117.24/x
  3. Step 3: Cross multiply
    302,938.47x = 418,053.22 × 165,117.24
  4. Step 4: Simplify right side
    302,938.47x = 69,027,793,446.72
  5. Step 5: Solve for x
    x = 69,027,793,446.72/302,938.47
  6. Step 6: Final answer
    x = 227,860.77

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