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Finding the Fourth Proportional to 341,802.86, 512,705.55 and 105,143.90

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Solution

The fourth proportional to 341,802.86, 512,705.55 and 105,143.90 is: 157,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,802.86 : 512,705.55 = 105,143.90 : x
  2. Step 2: Convert to fraction form
    341,802.86/512,705.55 = 105,143.90/x
  3. Step 3: Cross multiply
    341,802.86x = 512,705.55 × 105,143.90
  4. Step 4: Simplify right side
    341,802.86x = 53,907,861,078.65
  5. Step 5: Solve for x
    x = 53,907,861,078.65/341,802.86
  6. Step 6: Final answer
    x = 157,716.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.