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Finding the Fourth Proportional to 213,707.91, 295,167.88 and 170,835.88

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Solution

The fourth proportional to 213,707.91, 295,167.88 and 170,835.88 is: 235,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,707.91 : 295,167.88 = 170,835.88 : x
  2. Step 2: Convert to fraction form
    213,707.91/295,167.88 = 170,835.88/x
  3. Step 3: Cross multiply
    213,707.91x = 295,167.88 × 170,835.88
  4. Step 4: Simplify right side
    213,707.91x = 50,425,264,527.53
  5. Step 5: Solve for x
    x = 50,425,264,527.53/213,707.91
  6. Step 6: Final answer
    x = 235,954.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.