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Finding the Fourth Proportional to 213,354.09, 294,432.48 and 117,855.09

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Solution

The fourth proportional to 213,354.09, 294,432.48 and 117,855.09 is: 162,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,354.09 : 294,432.48 = 117,855.09 : x
  2. Step 2: Convert to fraction form
    213,354.09/294,432.48 = 117,855.09/x
  3. Step 3: Cross multiply
    213,354.09x = 294,432.48 × 117,855.09
  4. Step 4: Simplify right side
    213,354.09x = 34,700,366,429.32
  5. Step 5: Solve for x
    x = 34,700,366,429.32/213,354.09
  6. Step 6: Final answer
    x = 162,642.14

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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.