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Finding the Fourth Proportional to 304,124.65, 419,684.58 and 168,155.15

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Solution

The fourth proportional to 304,124.65, 419,684.58 and 168,155.15 is: 232,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,124.65 : 419,684.58 = 168,155.15 : x
  2. Step 2: Convert to fraction form
    304,124.65/419,684.58 = 168,155.15/x
  3. Step 3: Cross multiply
    304,124.65x = 419,684.58 × 168,155.15
  4. Step 4: Simplify right side
    304,124.65x = 70,572,121,404.16
  5. Step 5: Solve for x
    x = 70,572,121,404.16/304,124.65
  6. Step 6: Final answer
    x = 232,049.99

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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.