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Finding the Fourth Proportional to 140,206.40, 210,232.80 and 57,006.40

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Solution

The fourth proportional to 140,206.40, 210,232.80 and 57,006.40 is: 85,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,206.40 : 210,232.80 = 57,006.40 : x
  2. Step 2: Convert to fraction form
    140,206.40/210,232.80 = 57,006.40/x
  3. Step 3: Cross multiply
    140,206.40x = 210,232.80 × 57,006.40
  4. Step 4: Simplify right side
    140,206.40x = 11,984,615,089.92
  5. Step 5: Solve for x
    x = 11,984,615,089.92/140,206.40
  6. Step 6: Final answer
    x = 85,478.37

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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.