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Finding the Fourth Proportional to 213,472.76, 294,566.88 and 117,966.48

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Solution

The fourth proportional to 213,472.76, 294,566.88 and 117,966.48 is: 162,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,472.76 : 294,566.88 = 117,966.48 : x
  2. Step 2: Convert to fraction form
    213,472.76/294,566.88 = 117,966.48/x
  3. Step 3: Cross multiply
    213,472.76x = 294,566.88 × 117,966.48
  4. Step 4: Simplify right side
    213,472.76x = 34,749,017,958.18
  5. Step 5: Solve for x
    x = 34,749,017,958.18/213,472.76
  6. Step 6: Final answer
    x = 162,779.64

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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.