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Finding the Fourth Proportional to 341,812.86, 512,720.56 and 105,153.90

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Solution

The fourth proportional to 341,812.86, 512,720.56 and 105,153.90 is: 157,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,812.86 : 512,720.56 = 105,153.90 : x
  2. Step 2: Convert to fraction form
    341,812.86/512,720.56 = 105,153.90/x
  3. Step 3: Cross multiply
    341,812.86x = 512,720.56 × 105,153.90
  4. Step 4: Simplify right side
    341,812.86x = 53,914,566,494.18
  5. Step 5: Solve for x
    x = 53,914,566,494.18/341,812.86
  6. Step 6: Final answer
    x = 157,731.24

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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.