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Finding the Fourth Proportional to 343,151.84, 514,796.48 and 118,520.48

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Solution

The fourth proportional to 343,151.84, 514,796.48 and 118,520.48 is: 177,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,151.84 : 514,796.48 = 118,520.48 : x
  2. Step 2: Convert to fraction form
    343,151.84/514,796.48 = 118,520.48/x
  3. Step 3: Cross multiply
    343,151.84x = 514,796.48 × 118,520.48
  4. Step 4: Simplify right side
    343,151.84x = 61,013,922,745.33
  5. Step 5: Solve for x
    x = 61,013,922,745.33/343,151.84
  6. Step 6: Final answer
    x = 177,804.45

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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.