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Finding the Fourth Proportional to 343,142.30, 514,782.25 and 118,510.97

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Solution

The fourth proportional to 343,142.30, 514,782.25 and 118,510.97 is: 177,790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,142.30 : 514,782.25 = 118,510.97 : x
  2. Step 2: Convert to fraction form
    343,142.30/514,782.25 = 118,510.97/x
  3. Step 3: Cross multiply
    343,142.30x = 514,782.25 × 118,510.97
  4. Step 4: Simplify right side
    343,142.30x = 61,007,344,776.96
  5. Step 5: Solve for x
    x = 61,007,344,776.96/343,142.30
  6. Step 6: Final answer
    x = 177,790.22

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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.