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Finding the Fourth Proportional to 140,006.34, 210,008.61 and 83,862.41

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Solution

The fourth proportional to 140,006.34, 210,008.61 and 83,862.41 is: 125,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,006.34 : 210,008.61 = 83,862.41 : x
  2. Step 2: Convert to fraction form
    140,006.34/210,008.61 = 83,862.41/x
  3. Step 3: Cross multiply
    140,006.34x = 210,008.61 × 83,862.41
  4. Step 4: Simplify right side
    140,006.34x = 17,611,827,105.31
  5. Step 5: Solve for x
    x = 17,611,827,105.31/140,006.34
  6. Step 6: Final answer
    x = 125,793.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.