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Finding the Fourth Proportional to 213,459.40, 294,580.08 and 116,668.65

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Solution

The fourth proportional to 213,459.40, 294,580.08 and 116,668.65 is: 161,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,459.40 : 294,580.08 = 116,668.65 : x
  2. Step 2: Convert to fraction form
    213,459.40/294,580.08 = 116,668.65/x
  3. Step 3: Cross multiply
    213,459.40x = 294,580.08 × 116,668.65
  4. Step 4: Simplify right side
    213,459.40x = 34,368,261,355.17
  5. Step 5: Solve for x
    x = 34,368,261,355.17/213,459.40
  6. Step 6: Final answer
    x = 161,006.08

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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.