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Finding the Fourth Proportional to 295,744.65, 408,130.19 and 166,658.38

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Solution

The fourth proportional to 295,744.65, 408,130.19 and 166,658.38 is: 229,990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,744.65 : 408,130.19 = 166,658.38 : x
  2. Step 2: Convert to fraction form
    295,744.65/408,130.19 = 166,658.38/x
  3. Step 3: Cross multiply
    295,744.65x = 408,130.19 × 166,658.38
  4. Step 4: Simplify right side
    295,744.65x = 68,018,316,294.49
  5. Step 5: Solve for x
    x = 68,018,316,294.49/295,744.65
  6. Step 6: Final answer
    x = 229,990.01

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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.