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Finding the Fourth Proportional to 213,059.04, 294,020.82 and 117,564.90

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Solution

The fourth proportional to 213,059.04, 294,020.82 and 117,564.90 is: 162,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,059.04 : 294,020.82 = 117,564.90 : x
  2. Step 2: Convert to fraction form
    213,059.04/294,020.82 = 117,564.90/x
  3. Step 3: Cross multiply
    213,059.04x = 294,020.82 × 117,564.90
  4. Step 4: Simplify right side
    213,059.04x = 34,566,528,301.22
  5. Step 5: Solve for x
    x = 34,566,528,301.22/213,059.04
  6. Step 6: Final answer
    x = 162,239.20

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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.