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Finding the Fourth Proportional to 213,156.64, 294,166.92 and 141,414.40

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Solution

The fourth proportional to 213,156.64, 294,166.92 and 141,414.40 is: 195,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,156.64 : 294,166.92 = 141,414.40 : x
  2. Step 2: Convert to fraction form
    213,156.64/294,166.92 = 141,414.40/x
  3. Step 3: Cross multiply
    213,156.64x = 294,166.92 × 141,414.40
  4. Step 4: Simplify right side
    213,156.64x = 41,599,438,491.65
  5. Step 5: Solve for x
    x = 41,599,438,491.65/213,156.64
  6. Step 6: Final answer
    x = 195,159.01

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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.