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Finding the Fourth Proportional to 309,537.42, 427,166.09 and 180,472.29

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Solution

The fourth proportional to 309,537.42, 427,166.09 and 180,472.29 is: 249,054.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,537.42 : 427,166.09 = 180,472.29 : x
  2. Step 2: Convert to fraction form
    309,537.42/427,166.09 = 180,472.29/x
  3. Step 3: Cross multiply
    309,537.42x = 427,166.09 × 180,472.29
  4. Step 4: Simplify right side
    309,537.42x = 77,091,639,434.45
  5. Step 5: Solve for x
    x = 77,091,639,434.45/309,537.42
  6. Step 6: Final answer
    x = 249,054.35

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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.