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Finding the Fourth Proportional to 143,953.40, 198,655.84 and 83,536.31

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Solution

The fourth proportional to 143,953.40, 198,655.84 and 83,536.31 is: 115,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,953.40 : 198,655.84 = 83,536.31 : x
  2. Step 2: Convert to fraction form
    143,953.40/198,655.84 = 83,536.31/x
  3. Step 3: Cross multiply
    143,953.40x = 198,655.84 × 83,536.31
  4. Step 4: Simplify right side
    143,953.40x = 16,594,976,434.61
  5. Step 5: Solve for x
    x = 16,594,976,434.61/143,953.40
  6. Step 6: Final answer
    x = 115,280.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.