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Finding the Fourth Proportional to 252,510.84, 378,802.26 and 83,975.64

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Solution

The fourth proportional to 252,510.84, 378,802.26 and 83,975.64 is: 125,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,510.84 : 378,802.26 = 83,975.64 : x
  2. Step 2: Convert to fraction form
    252,510.84/378,802.26 = 83,975.64/x
  3. Step 3: Cross multiply
    252,510.84x = 378,802.26 × 83,975.64
  4. Step 4: Simplify right side
    252,510.84x = 31,810,162,216.95
  5. Step 5: Solve for x
    x = 31,810,162,216.95/252,510.84
  6. Step 6: Final answer
    x = 125,975.43

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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.